Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Transformations

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Coordinate Geometry

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

g(x) = |x +6| + 3

g(x) = |x+3| + 6

The correct answer is not given among the other responses.

g(x) = |x-3| + 6

g(x) = |x - 6| + 3

Correct answer:

g(x) = |x - 6| + 3

Explanation:

Below is the graph of f(x) = |x| :

Axes_1

The given graph is the graph of shifted 6 units left (that is, unit right) and 3 units up.

The function graphed is therefore

g (x) = f(x-h) + k where h = 6, k= 3 . That is,

g (x) = f(x-6) +3

g(x)= | x-6 | + 3

Report an Error

Example Question #2 : Coordinate Geometry

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

g(x) = |2x + 6|

g(x) = |2x| + 3

$g(x) = \left |3x + \frac{3}{2} \right |\textup{}$

g(x) = |3x +6|

$g(x) =\left | \frac{1}{2} x \right |+ 3$

Correct answer:

g(x) = |2x| + 3

Explanation:

Below is the graph of f(x) = |x| :

Axes_1

If the graph of is translated by shifting each point (x,y) to the point (2, 2y) , the graph of

g(x) = 2f(x)

is formed. If the graph is then shifted upward by three units, the new graph is

g(x) = 2f(x) + 3

Since the starting graph was f(x) = |x| , the final graph is

g(x) = 2 |x| + 3 , or,

g(x) = |2x| + 3

Report an Error

Example Question #4 : Coordinate Geometry

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

g(x) = |3x-12|

g(x) =- |3x+12|

$g(x) =\left | \frac{1}{3} x+\frac{4}{3} \right |$

g(x) = |3x+12|

$g(x) =\left | \frac{1}{3} x-\frac{4}{3} \right |$

Correct answer:

g(x) = |3x-12|

Explanation:

Below is the graph of f(x) = |x| :

Axes_1

If the graph of is translated by shifting each point (x,y) to the point (x, 3y) , the graph of

g(x) = 3f(x)

is formed. If the graph is then shifted right by four units, the new graph is

g(x) = 3f(x- 4)

Since the starting graph was f(x) = |x| , the final graph is

g(x) = 3 |x-4| , or g(x) = |3x-12|

Report an Error

Example Question #2 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

$g(x) =\left | \frac{1}{4}x+1 \right |$

$g(x) =\left | \frac{1}{4}x-1 \right |$

g(x) =-|4x |- 4

$g(x) =\left | \frac{1}{4}x \right |- 4$

g(x) =-|4x+16|

Correct answer:

$g(x) =\left | \frac{1}{4}x \right |- 4$

Explanation:

Below is the graph of f(x) = |x| :

Axes_1

If the graph of is translated by shifting each point (x,y) to the point $\left ( x, \frac{1}{4}y \right )$ , the graph of

$g(x) = \frac{1}{4}f(x)$

is formed. If the graph is then shifted down by four units, the new graph is

$g(x) = \frac{1}{4}f(x)- 4$ .

Since the starting graph was f(x) = |x| , the final graph is

$g(x) = \frac{1}{4}|x|- 4$ , or

$g(x) =\left | \frac{1}{4}x \right |- 4$

Report an Error

Example Question #1 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

$g(x) =\left | \frac{1}{3} x+ \frac{2}{3} \right |$

g(x) = |3x-6|

$g(x) =\left | \frac{1}{3} x- \frac{2}{3} \right |$

$g(x) =\left | \frac{1}{3} x \right |+2$

g(x) = |3x|-2

Correct answer:

$g(x) =\left | \frac{1}{3} x- \frac{2}{3} \right |$

Explanation:

Below is the graph of f(x) = |x| :

Axes_1

If the graph of is translated by shifting each point (x,y) to the point $\left ( x, \frac{1}{3}y \right )$ , the graph of

$g(x) = \frac{1}{3}f(x)$

is formed. If the graph is then shifted right by two units, the new graph is

$g(x) = \frac{1}{3}f(x-2)$

Since the starting graph was f(x) = |x| , the final graph is

$g(x) = \frac{1}{3} |x-2|$ , or

$g(x) =\left | \frac{1}{3} x- \frac{2}{3} \right |$

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Shakeel
Certified Tutor

View SAT Subject Test in Mathematics Level 2 Tutors

Carlos
Certified Tutor

New Jersey Institute of Technology, Bachelor of Science, Mechanical Engineering. New Jersey Institute of Technology, Master o...

View SAT Subject Test in Mathematics Level 2 Tutors

Rima
Certified Tutor

Lebanese university , Master's/Graduate, Marketing and Management .

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Philadelphia, MCAT Tutors in Atlanta, ACT Tutors in San Diego, Calculus Tutors in San Francisco-Bay Area, ISEE Tutors in Dallas Fort Worth, LSAT Tutors in San Francisco-Bay Area, SSAT Tutors in San Francisco-Bay Area, Chemistry Tutors in Boston, Reading Tutors in Atlanta, Math Tutors in Atlanta

Popular Courses & Classes

Spanish Courses & Classes in San Diego, ISEE Courses & Classes in Houston, GRE Courses & Classes in Chicago, GMAT Courses & Classes in New York City, MCAT Courses & Classes in Boston, SSAT Courses & Classes in Boston, SSAT Courses & Classes in Phoenix, SSAT Courses & Classes in New York City, Spanish Courses & Classes in Denver, LSAT Courses & Classes in Boston

Popular Test Prep

MCAT Test Prep in Phoenix, GRE Test Prep in Miami, GMAT Test Prep in Boston, GMAT Test Prep in New York City, GRE Test Prep in San Diego, GRE Test Prep in Atlanta, ISEE Test Prep in Boston, SAT Test Prep in Phoenix, MCAT Test Prep in Houston, SAT 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

SAT II Math II : Transformations

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #3 : Coordinate Geometry

Example Question #2 : Coordinate Geometry

Example Question #4 : Coordinate Geometry

Example Question #2 : Transformations

Example Question #1 : Transformations

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: