We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Functions : Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Study concepts, example questions & explanations for Common Core: High School - Functions

Create An Account

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Building Functions

Given the function f(x)=x^2 identify the graphically effect f(x)-2 creates.

Possible Answers:

f(x)-2 moves the original function f(x)=x^2 left two units

f(x)-2 moves the original function f(x)=x^2 down two units

f(x)-2 moves the original function f(x)=x^2 up two units

f(x)-2 moves the original function f(x)=x^2 right two units

Correct answer:

f(x)-2 moves the original function f(x)=x^2 down two units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x)-2

The function f(x)-2 in the graph above has a -intercept at negative two.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q2 2

Given the original function f(x)=x^2 , the graphically effect f(x)-2 creates is a vertical shift down of two units.

Step 4: Answer the question.

In other words, f(x)-2 moves the original function f(x)=x^2 down two units.

Report an Error

Example Question #211 : High School: Functions

Given the function f(x)=x^2 identify the graphically effect f(x)+3 creates.

Possible Answers:

f(x)+3 moves the original function f(x)=x^2 to the right three units

f(x)+3 moves the original function f(x)=x^2 down three units

f(x)+3 moves the original function f(x)=x^2 to the left three units

f(x)+3 moves the original function f(x)=x^2 up three units

Correct answer:

f(x)+3 moves the original function f(x)=x^2 up three units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x)+3 .

Screen shot 2016 01 14 at 6.40.16 am

The function f(x)+3 in the graph above has a -intercept at three.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Screen shot 2016 01 14 at 6.40.49 am

Given the original function f(x)=x^2 , the graphically effect f(x)+3 creates is a vertical shift upwards of three units.

Step 4: Answer the question.

In other words, f(x)+3 moves the original function f(x)=x^2 up three units.

Report an Error

Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect f(x)+4 creates.

Possible Answers:

f(x)+4 moves the original function f(x)=x^2 down four units

f(x)+4 moves the original function f(x)=x^2 to the right four units

f(x)+4 moves the original function f(x)=x^2 up four units

f(x)+4 moves the original function f(x)=x^2 to the left four units

Correct answer:

f(x)+4 moves the original function f(x)=x^2 up four units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x)+4 .

The function f(x)+4 in the graph above has a -intercept at four.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q3 2

Given the original function f(x)=x^2 , the graphically effect f(x)+4 creates is a vertical shift upwards of four units.

Step 4: Answer the question.

In other words, f(x)+4 moves the original function f(x)=x^2 up four units.

Report an Error

Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect f(x)-5 creates.

Possible Answers:

f(x)-5 moves the original function f(x)=x^2 up five units

f(x)-5 moves the original function f(x)=x^2 left five units

f(x)-5 moves the original function f(x)=x^2 down five units

f(x)-5 moves the original function f(x)=x^2 right five units

Correct answer:

f(x)-5 moves the original function f(x)=x^2 down five units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x)-5

The function f(x)-5 in the graph above has a -intercept at negative five.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q4 2

Given the original function f(x)=x^2 , the graphically effect f(x)-5 creates is a vertical shift down of five units.

Step 4: Answer the question.

In other words, f(x)-5 moves the original function f(x)=x^2 down five units.

Report an Error

Example Question #221 : High School: Functions

Given the function f(x)=x^2 identify the graphically effect f(x-1) creates.

Possible Answers:

f(x-1) moves the original function f(x)=x^2 down one unit

f(x-1) moves the original function f(x)=x^2 up one unit

f(x-1) moves the original function f(x)=x^2 right one unit

f(x-1) moves the original function f(x)=x^2 left one unit

Correct answer:

f(x-1) moves the original function f(x)=x^2 right one unit

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x-1)

The function f(x-1) in the graph above has a -intercept at one and the vertex is moved to the right one unit.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q5 2

Given the original function f(x)=x^2 , the graphically effect f(x-1) creates is a phase shift to the right one unit.

Step 4: Answer the question.

In other words, f(x-1) moves the original function f(x)=x^2 right one unit.

Report an Error

Example Question #6 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect f(x+1) creates.

Possible Answers:

f(x+1) moves the original function f(x)=x^2 up one unit

f(x+1) moves the original function f(x)=x^2 right one unit

f(x+1) moves the original function f(x)=x^2 left one unit

f(x+1) moves the original function f(x)=x^2 down one unit

Correct answer:

f(x+1) moves the original function f(x)=x^2 left one unit

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x+1)

The function f(x+1) in the graph above has a -intercept at one and the vertex is moved to the left one unit.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q6 2

Given the original function f(x)=x^2 , the graphically effect f(x+1) creates is a phase shift to the left one unit.

Step 4: Answer the question.

In other words, f(x+1) moves the original function f(x)=x^2 left one unit.

Report an Error

Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect f(x+2) creates.

Possible Answers:

f(x+2) moves the original function f(x)=x^2 up two units

f(x+2) moves the original function f(x)=x^2 right two units

f(x+2) moves the original function f(x)=x^2 down two units

f(x+2) moves the original function f(x)=x^2 left two units

Correct answer:

f(x+2) moves the original function f(x)=x^2 left two units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x+2)

The function f(x+2) in the graph above has a -intercept at four and the vertex is moved to the left two unit.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q7 2

Given the original function f(x)=x^2 , the graphically effect f(x+2) creates is a phase shift to the left two units.

Step 4: Answer the question.

In other words, f(x+2) moves the original function f(x)=x^2 left two units.

Report an Error

Example Question #8 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect f(x-3) creates.

Possible Answers:

f(x-3) moves the original function f(x)=x^2 down three units

f(x-3) moves the original function f(x)=x^2 up three units

f(x-3) moves the original function f(x)=x^2 left three units

f(x-3) moves the original function f(x)=x^2 right three units

Correct answer:

f(x-3) moves the original function f(x)=x^2 right three units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x-3)

The function f(x-3) in the graph above has a -intercept at nine and the vertex is moved to the right three units.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q8 2

Given the original function f(x)=x^2 , the graphically effect f(x-3) creates is a phase shift to the right three units.

Step 4: Answer the question.

In other words, f(x-3) moves the original function f(x)=x^2 right three units.

Report an Error

Example Question #9 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect 2f(x) creates.

Possible Answers:

2f(x) narrows the original function f(x)=x^2

2f(x) moves the original function f(x)=x^2 down two units

2f(x) moves the original function f(x)=x^2 up two units

2f(x) widens the original function f(x)=x^2

Correct answer:

2f(x) narrows the original function f(x)=x^2

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function 2f(x)

The function 2f(x) in the graph above has a -intercept at zero and the graph narrows.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q9 2

Step 4: Answer the question.

2f(x) narrows the original function f(x)=x^2

Report an Error

Example Question #10 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect 3f(x) creates.

Possible Answers:

3f(x) widens the original function f(x)=x^2

3f(x) narrows the original function f(x)=x^2

3f(x) moves the original function f(x)=x^2 up three units

3f(x) moves the original function f(x)=x^2 down three units

Correct answer:

3f(x) narrows the original function f(x)=x^2

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Use technology to graph the function f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function 3f(x)

Q11

The function 3f(x) in the graph above has a -intercept at zero and the graph narrows.

Step 3: Compare and interpret the two graphs to identify the graphically effect.

When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.

Q11 2

Step 4: Answer the question.

3f(x) narrows the original function f(x)=x^2

Report an Error

View Tutors

John
Certified Tutor

The Richard Stockton College of New Jersey, Bachelor of Science, Mathematics. University of Texas Rio Grande Valley, Master o...

View Tutors

Nora
Certified Tutor

Amherst College, Bachelor of Science, Psychology.

View Tutors

Pek Hwa
Certified Tutor

Aurora University, Master of Science, High School Teaching.

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Houston, French Tutors in Philadelphia, Biology Tutors in Washington DC, GRE Tutors in Dallas Fort Worth, Computer Science Tutors in Dallas Fort Worth, MCAT Tutors in San Francisco-Bay Area, GMAT Tutors in Denver, GMAT Tutors in Houston, Chemistry Tutors in Washington DC, Calculus Tutors in Houston

Popular Courses & Classes

ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in New York City, GRE Courses & Classes in Atlanta, ISEE Courses & Classes in Atlanta, Spanish Courses & Classes in Chicago, ISEE Courses & Classes in Seattle, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Washington DC, GRE Courses & Classes in San Diego, ACT Courses & Classes in Philadelphia

Popular Test Prep

ACT Test Prep in New York City, GMAT Test Prep in Chicago, ACT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Atlanta, LSAT Test Prep in Phoenix, ACT Test Prep in Philadelphia, SSAT Test Prep in Denver, ACT Test Prep in Atlanta, ACT Test Prep in Phoenix, GRE Test Prep in Atlanta

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: High School - Functions : Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Study concepts, example questions & explanations for Common Core: High School - Functions

All Common Core: High School - Functions Resources

Example Questions

Example Question #41 : Building Functions

Example Question #211 : High School: Functions

Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Example Question #221 : High School: Functions

Example Question #6 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Example Question #8 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Example Question #9 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Example Question #10 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

All Common Core: High School - Functions Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: