We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Transformations of Linear Functions

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 Next →

Example Question #31 : Transformations Of Linear Functions

Shift the equation y=9-x up three units and left six units. What is the new equation?

Possible Answers:

y= -x+18

y= -x-6

y= -x-12

y= -x+6

y= -x-18

Correct answer:

y= -x+6

Explanation:

Rewrite the equation in slope intercept form.

y=-x+9

Shifting the graph up by three units will require adding three to the y-intercept.

y=-x+9=-x+9+(3) = -x+12

Shifting the graph left six units mean that the x-variable will need to be replaced with: (x+6)

The equation becomes:

y=-(x+6)+12

Simplify this equation.

y=-x-6+12 = -x+6

The answer is: y= -x+6

Report an Error

Example Question #81 : Linear Functions

Shift the graph 2x+3y = 6 down six units. What is the new equation?

Possible Answers:

$y=-\frac{2}{3}x$

$y=-\frac{2}{3}x-16$

$y=-\frac{2}{3}x-8$

$y=-\frac{2}{3}x-4$

$y=-\frac{2}{3}x+6$

Correct answer:

$y=-\frac{2}{3}x-4$

Explanation:

Rewrite the given equation in standard form to slope-intercept form.

y=mx+b

Subtract from both sides.

2x+3y -2x= 6-2x

3y=-2x+6

Divide by three on both sides.

$\frac{3y}{3}=\frac{-2x+6}{3}$

Simplify this equation.

$y=-\frac{2}{3}x+2$

Shifting this equation down means that the y-intercept will be subtracted six.

$y=-\frac{2}{3}x+2-6$

The answer is: $y=-\frac{2}{3}x-4$

Report an Error

Example Question #82 : Linear Functions

Translate the graph y=10-2x down fifteen units. What is the new equation?

Possible Answers:

y=-2x-5

y=-13x+10

y=-2x-25

y=-2x+25

y=-2x+5

Correct answer:

y=-2x-5

Explanation:

The given equation can be rewritten in slope-intercept format, y=mx+b .

$y=10-2x \rightarrow y=-2x+10$

Shifting down a line fifteen units will decrease the y-intercept by 15.

y=-2x+10-15

The answer is: y=-2x-5

Report an Error

Example Question #83 : Linear Functions

Translate the graph y=2x+5 left four units and up one unit. What's the new equation?

Possible Answers:

y= 2x-17

y= 2x-3

y= 2x-7

y= 2x+14

y= 2x+8

Correct answer:

y= 2x+14

Explanation:

Shifting the equation up one unit will change the y-intercept by adding one.

y=2x+5+(1) = 2x+6

If the graph is to be shifted four units to the left, the x-variable will need to be replaced with the quantity (x+4) .

y=2(x+4)+6

Use the distribution property to simplify the binomial.

y=2x+8+6 = 2x+14

The equation is: y= 2x+14

Report an Error

Example Question #84 : Linear Functions

Shift the function x+3y=6 up four units. What is the new equation?

Possible Answers:

$y=-\frac{1}{3}x+6$

$y=-\frac{1}{3}x+\frac{16}{3}$

$y=-3x+\frac{16}{3}$

$y=-\frac{1}{3}x+\frac{3}{10}$

y=-3x+6

Correct answer:

$y=-\frac{1}{3}x+6$

Explanation:

Rewrite this equation in standard form to slope intercept format.

Subtract on both sides.

x+3y-x=6-x

3y=-x+6

Divide by three on both sides.

$\frac{3y}{3}=\frac{-x+6}{3}$

Simplify this equation.

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

If this graph is shifted up four units, simply add four to the y-intercept.

$y=-\frac{1}{3}x+2+4$

The answer is: $y=-\frac{1}{3}x+6$

Report an Error

Example Question #85 : Linear Functions

Shift y=6x-4 left eight units. What is the new equation?

Possible Answers:

y= 6x-52

y= 6x+12

y= 6x+44

y= -2x+44

y= 6x-36

Correct answer:

y= 6x+44

Explanation:

Shifting the graph left 8 units will require changing the x-variable to (x+8) .

Replace the term and simplify the equation.

y=6(x+8)-4

Distribute the six through the binomial.

y=6x+48-4 = 6x+44

The equation is: y= 6x+44

Report an Error

Example Question #86 : Linear Functions

Translate the function y=3-9x left 5 units. What is the new equation?

Possible Answers:

y=-9x+46

y=-9x-42

y=-9x-15

y=-9x-62

y=-9x+18

Correct answer:

y=-9x-42

Explanation:

If the graph is shifted leftward, apply the transformation by replacing the x-variable with (x+5) .

y=3-9(x+5)

Simplify this equation by distribution, and rewrite this in slope intercept format.

y=3-9x-45

Combine like-terms.

The answer is: y=-9x-42

Report an Error

Example Question #87 : Linear Functions

Translate the line y= 7-3x down three units and left four units. What is the new equation?

Possible Answers:

y= -3x+8

y= -3x-12

$\textup{The answer is not given.}$

y= -3x-8

y= -3x+16

Correct answer:

y= -3x-8

Explanation:

Rewrite the equation in slope-intercept form: y=mx+b

y=-3x+7

Shifting this line down three units will decrease the y-intercept by three.

y=-3x+7-(3) = -3x+4

y= -3x+4

If the line is shifted left four units, the x-variable will need to be replaced with (x+4) .

y= -3(x+4)+4

Simplify this equation.

y=-3x-12+4 = -3x-8

The answer is: y= -3x-8

Report an Error

Example Question #88 : Linear Functions

Translate the line x-y=0 left three units and down four units. What is the new equation?

Possible Answers:

y=x+2

y=x-7

y=-x+3

y=-x-6

y=x-1

Correct answer:

y=x-1

Explanation:

Rewrite the given equation in standard form to slope-intercept form.

Add on both sides.

x-y+y=0+y

y=x

A shift down four units will decrease the y-intercept by four. The current y-intercept is zero. Rewrite the equation.

y=x-4

The line shifted three units to the left means that the x-variable will need to be replaced with (x+3) .

Rewrite the equation.

y=(x+3)-4

Simplify this equation.

The answer is: y=x-1

Report an Error

Example Question #31 : Transformations Of Linear Functions

Translate the graph y=-3(-x+8) up three units. What is the new equation?

Possible Answers:

y= 3x-24

y= 3x+15

y= 3x-21

y= 3x+33

y= 3x-33

Correct answer:

y= 3x-21

Explanation:

Simplify the equation by distribution.

y=-3(-x+8) = (-3)(-x)+(-3)(8) = 3x-24

Shifting this line up by three units will add three to the y-intercept.

y= 3x-24+3 = 3x-21

The answer is: y= 3x-21

Report an Error

← Previous 1 2 3 4 5 6 Next →

View Algebra 2 Tutors

Amy
Certified Tutor

University of Michigan-Ann Arbor, Bachelor of Science, Biology, General.

View Algebra 2 Tutors

Destin
Certified Tutor

Howard University, Bachelor of Science, Mathematics.

View Algebra 2 Tutors

Gary
Certified Tutor

Montana State University, Bachelor of Science, Mathematics Teacher Education. Western Carolina University, Master of Arts, Ma...

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Miami, MCAT Tutors in Philadelphia, Calculus Tutors in Los Angeles, Physics Tutors in New York City, Physics Tutors in Los Angeles, ISEE Tutors in Chicago, Spanish Tutors in Los Angeles, Calculus Tutors in Dallas Fort Worth, ACT Tutors in Washington DC, English Tutors in San Francisco-Bay Area

Popular Courses & Classes

MCAT Courses & Classes in Boston, ACT Courses & Classes in Philadelphia, SAT Courses & Classes in Los Angeles, ACT Courses & Classes in Seattle, GMAT Courses & Classes in New York City, MCAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Boston, SSAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Atlanta, Spanish Courses & Classes in Chicago

Popular Test Prep

SAT Test Prep in San Diego, MCAT Test Prep in Atlanta, MCAT Test Prep in New York City, MCAT Test Prep in Washington DC, ACT Test Prep in Philadelphia, MCAT Test Prep in Dallas Fort Worth, GMAT Test Prep in New York City, MCAT Test Prep in Phoenix, ISEE Test Prep in Boston, SAT Test Prep in New York City

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

Algebra II : Transformations of Linear Functions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #31 : Transformations Of Linear Functions

Example Question #81 : Linear Functions

Example Question #82 : Linear Functions

Example Question #83 : Linear Functions

Example Question #84 : Linear Functions

Example Question #85 : Linear Functions

Example Question #86 : Linear Functions

Example Question #87 : Linear Functions

Example Question #88 : Linear Functions

Example Question #31 : Transformations Of Linear Functions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: