We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Transformation

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #461 : Ssat Upper Level Quantitative (Math)

Function

Give the equation graphed in the above figure.

Possible Answers:

y = |x|+3

y = | x-3|

y = | x+3|

$y = \left | \frac{1}{3}x \right |$

y = |3x|

Correct answer:

y = |3x|

Explanation:

The graph below is the graph of the absolute value function f(x)= |x| , which pairs each -coordinate with its absolute value.

Absolute value graph

The given graph is the same as the above graph, except that each -coordinate is paired with the -coordinate three times that with which it is paired in the above graph. Therefore, the equation graphed is

$y = 3 \cdot |x|$

y = |3x|

Report an Error

Example Question #1 : How To Find Transformation For An Analytic Geometry Equation

If the graph of the equation $y= x^{2}+ 2x - 17$ is shifted right three units on the coordinate plane, what will be the equation of the resulting graph?

Possible Answers:

$y= x^{2}+8x -2$

$y= x^{2}-4x -14$

$y= 2 x^{2}+ 4x - 34$

$y= x^{2}+ 2x - 20$

$y= x^{2}+ 2x - 14$

Correct answer:

$y= x^{2}-4x -14$

Explanation:

The graph of a function y = f(x) shifted right three units is the graph of y = f(x-3) . In this graph, $f(x)= x^{2}+ 2x - 17$ , so the graph formed by the transformation is

$f(x-3)= \left (x-3 \right ) ^{2}+ 2 (x-3) - 17$

$f(x-3)= x^{2}-6x+9+ 2x-6 - 17$

$f(x-3)= x^{2}-6x+ 2x+9-6 - 17$

$f(x-3)= x^{2}-4x -14$

The correct equation is $y= x^{2}-4x -14$ .

Report an Error

Example Question #1 : How To Find Transformation For An Analytic Geometry Equation

If the graph of the equation y = 2x^2 + 5x - 17 is reflected about the origin, what will the equation of the resulting graph be?

Possible Answers:

y = 2x^2+ 5x-17

y = 2x^2 +5x +17

y = 2x^2 - 5x - 17

y =- 2x^2 +5x +17

y =- 2x^2 -5x +17

Correct answer:

y =- 2x^2 +5x +17

Explanation:

The reflection of the graph of the equation y = f(x) about the origin is the graph of the equation -y = f(-x) , so replace with and with :

y = 2x^2 + 5x - 17

becomes

- y = 2 (-x) ^2 + 5 (-x) - 17

- y = 2 x^2 -5x - 17

-(-y) = - (2 x^2 -5x - 17)

y= - 2 x^2 +5x +17

Report an Error

Example Question #2 : How To Find Transformation For An Analytic Geometry Equation

If the graph of the equation y = 2x^2 + 5x - 17 is reflected about the -axis, what will the equation of the resulting graph be?

Possible Answers:

y = 2x^2 - 5x - 17

y =- 2x^2 +5x +17

y = 2x^2+ 5x-17

y =- 2x^2 -5x +17

y = 2x^2 +5x +17

Correct answer:

y =- 2x^2 -5x +17

Explanation:

The reflection of the graph of the equation y = f(x) about the -axis is the graph of the equation -y = f(x) , so replace with :

y = 2x^2 + 5x - 17

becomes

-y = 2x^2 + 5x - 17

$-(-y) = - (2x^{2 }+ 5x - 17)$

y =- 2x^2 -5x +17

Report an Error

Example Question #3 : How To Find Transformation For An Analytic Geometry Equation

If the graph of the equation y = 2x^2 + 5x - 17 is reflected about the -axis, what will the equation of the resulting graph be?

Possible Answers:

y = 2x^2 +5x +17

y = 2x^2 - 5x - 17

y =- 2x^2 -5x +17

y = 2x^2+ 5x-17

y =- 2x^2 +5x +17

Correct answer:

y = 2x^2 - 5x - 17

Explanation:

The reflection of the graph of the equation y = f(x) about the -axis is the graph of the equation y = f(-x) , so replace with :

y = 2x^2 + 5x - 17

becomes

y = 2 (-x) ^2 + 5 (-x) - 17

y = 2 x^2 -5x - 17

Report an Error

Example Question #4 : How To Find Transformation For An Analytic Geometry Equation

If the graph of the equation y = |x+3| - 5 is reflected about the origin, what will the equation of the resulting graph be?

Possible Answers:

y =- |x-3| - 5

None of the other responses gives a correct answer.

y =- |x+3| + 5

y =- |x+3| - 5

y=- |x-3| +5

Correct answer:

y=- |x-3| +5

Explanation:

The reflection of the graph of the equation y = f(x) about the origin is the graph of the equation -y = f(-x) , so replace with and with :

y = |x+3| - 5

becomes

-y = |-x+3| - 5

-(-y) =-( |-x+3| - 5)

y=- |-x+3| +5

The absolute values of two expressions that are each other's opposites are equal, so |-x+3| is equivalent to |x-3| . The expression can be rewritten as

y=- |x-3| +5 .

Report an Error

Example Question #474 : Ssat Upper Level Quantitative (Math)

Function

Give the equation graphed in the above figure.

Possible Answers:

y = |x-3| - 5

y = |x+5| - 3

y = |x-5| + 3

y = |x+5| + 3

y = |x+3| + 5

Correct answer:

y = |x+5| + 3

Explanation:

The graph below is the graph of the absolute value function f(x)= |x| , which pairs each -coordinate with its absolute value.

Absolute value graph

The given graph is the above graph shifted right five units and upward three units. The graph of any function y = f(x) shifted right five units and upward three units is y = f(x+5)+3 , so the correct response is y = |x+5| + 3 .

Report an Error

Example Question #471 : Ssat Upper Level Quantitative (Math)

If the graph of the equation $y= x^{2}+ 3x - 5$ is shifted downward seven units on the coordinate plane, what will be the equation of the resulting graph?

Possible Answers:

$y = x ^{2}-11x+23$

$y = x ^{2}+17x+65$

$y=\frac{1}{7} x^{2}+ \frac{3}{7}x - \frac{5}{7}$

$y= x^{2}+ 3x+2$

$y= x^{2}+ 3x - 12$

Correct answer:

$y= x^{2}+ 3x - 12$

Explanation:

The graph of a function y = f(x) shifted downward seven units is the graph of y = f(x) -7 . In this graph, $f(x)= x^{2}+ 3x - 5$ , so the graph formed by the transformation is that of the equation

$y = ( x^{2}+ 3x - 5)-7$

$y = x^{2}+ 3x -12$

Report an Error

Example Question #5 : How To Find Transformation For An Analytic Geometry Equation

Function

Give the equation graphed in the above figure.

Possible Answers:

y =|x|+2

y =|x|-2

y = |x-2|

y = |2x|

y = |x+2|

Correct answer:

y = |x-2|

Explanation:

The graph below is the graph of the absolute value function f(x)= |x| , which pairs each -coordinate with its absolute value.

Absolute value graph

The given graph is the above graph shifted right two units. The graph of y = f(x) shifted right two units is y = f(x-2) , so the correct response is y = |x-2| .

Report an Error

Example Question #6 : How To Find Transformation For An Analytic Geometry Equation

Function 2

What equation is graphed in the above figure?

Possible Answers:

$y = \left \lfloor x\right \rfloor - 3$

$y = \left \lceil x\right \rceil - 3$

$y = \left \lfloor x\right \rfloor +3$

$y = \left \lceil x\right \rceil - 4$

$y = \left \lfloor x\right \rfloor - 4$

Correct answer:

$y = \left \lfloor x\right \rfloor - 4$

Explanation:

The greatest integer function, or floor function, $y = \left \lfloor x\right \rfloor$ , pairs each value of with the greatest integer less than or equal to . Its graph is below.

Floor function

The given graph is the above graph shifted downward four units. The graph of any function y = f(x) shifted downward four units is y = f(x) - 4 , so the given graph corresponds to equation $y = \left \lfloor x\right \rfloor - 4$ .

Report an Error

View SSAT- Upper Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View SSAT- Upper Level Tutors

Brianna
Certified Tutor

Fairfield University, Bachelor of Science, Biology, General. National University of Ireland at Galway, Master of Science, Neu...

View SSAT- Upper Level Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Statistics Tutors in Washington DC, LSAT Tutors in Houston, GMAT Tutors in Washington DC, Computer Science Tutors in Denver, GRE Tutors in San Diego, Chemistry Tutors in Chicago, Chemistry Tutors in Boston, LSAT Tutors in Washington DC, Calculus Tutors in San Francisco-Bay Area, Physics Tutors in Philadelphia

Popular Courses & Classes

MCAT Courses & Classes in New York City, ISEE Courses & Classes in Miami, GMAT Courses & Classes in Denver, MCAT Courses & Classes in Atlanta, SAT Courses & Classes in Miami, ACT Courses & Classes in Chicago, GRE Courses & Classes in San Diego, Spanish Courses & Classes in Seattle, ACT Courses & Classes in Philadelphia, ACT Courses & Classes in Seattle

Popular Test Prep

ISEE Test Prep in Washington DC, MCAT Test Prep in San Diego, MCAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Chicago, GRE Test Prep in Denver, SSAT Test Prep in Denver, ACT Test Prep in Philadelphia, SAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Houston

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

SSAT Upper Level Math : Transformation

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #461 : Ssat Upper Level Quantitative (Math)

Example Question #1 : How To Find Transformation For An Analytic Geometry Equation

Example Question #1 : How To Find Transformation For An Analytic Geometry Equation

Example Question #2 : How To Find Transformation For An Analytic Geometry Equation

Example Question #3 : How To Find Transformation For An Analytic Geometry Equation

Example Question #4 : How To Find Transformation For An Analytic Geometry Equation

Example Question #474 : Ssat Upper Level Quantitative (Math)

Example Question #471 : Ssat Upper Level Quantitative (Math)

Example Question #5 : How To Find Transformation For An Analytic Geometry Equation

Example Question #6 : How To Find Transformation For An Analytic Geometry Equation

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: