We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

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

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 #371 : Functions And Graphs

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

Possible Answers:

y= 3x-24

y= 3x-33

y= 3x-21

y= 3x+15

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

Example Question #90 : Linear Functions

Shift the graph: y=2(2x+3) up five units. What is the new equation?

Possible Answers:

y =4x+11

y =4x+8

y =4x+10

y =4x+18

y =4x+15

Correct answer:

y =4x+11

Explanation:

Use distribution to simplify this equation. We will need to put the equation in slope-intercept format, y=mx+b

y=2(2x+3) =2(2x)+2(3) =4x+6

The equation becomes: y =4x+6

Shifting this equation up five units will add five to the y-intercept.

The answer is: y =4x+11

Report an Error

Example Question #41 : Transformations Of Linear Functions

Shift the graph $y=9-\frac{2}{9}x$ three units to the left. What's the new equation?

Possible Answers:

$y=-\frac{2}{9}x+3$

$y=-\frac{2}{9}x+\frac{25}{3}$

$y=-\frac{2}{9}x+\frac{31}{3}$

$y=-\frac{2}{9}x+\frac{29}{3}$

$y=-\frac{2}{9}x+\frac{1}{6}$

Correct answer:

$y=-\frac{2}{9}x+\frac{25}{3}$

Explanation:

In order to shift an equation to the left three units, the x-variable will need to be replaced with the quantity of (x+3) . This shifts all points left three units.

$y=9-\frac{2}{9}(x+3)$

Simplify the equation.

$y=9-\frac{2}{9}x-\frac{2}{3} = \frac{27}{3}-\frac{2}{9}x-\frac{2}{3}$

The answer is: $y=-\frac{2}{9}x+\frac{25}{3}$

Report an Error

Example Question #42 : Transformations Of Linear Functions

Shift the line y=9(2x-1) up six units. What is the new equation?

Possible Answers:

y= 18x+6

y= 18x+11

y= 18x-3

y= 18x-8

y= 18x-15

Correct answer:

y= 18x-3

Explanation:

Add six to the equation since a vertical shift will increase the y-intercept by six units.

y=9(2x-1)+6

Simplify this equation by distribution.

y=9(2x)-9(1)+6 = 18x-3

The answer is: y= 18x-3

Report an Error

Example Question #43 : Transformations Of Linear Functions

Translate the function: 3y=4-x to the left 5 units. What is the equation in slope-intercept format?

Possible Answers:

$y= -\frac{1}{3}x+\frac{8}{3}$

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

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

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

$y= -\frac{1}{3}x-\frac{8}{3}$

Correct answer:

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

Explanation:

Divide by three on both sides.

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

The equation becomes: $y=-\frac{1}{3}x+\frac{4}{3}$

If this equation shifts to the left five units, we will need to replace the x term with the quantity (x+5) .

$y=-\frac{1}{3}(x+5)+\frac{4}{3}$

Simplify this equation by distribution.

$y=-\frac{1}{3}(x+5)+\frac{4}{3} = -\frac{1}{3}x-\frac{5}{3}+\frac{4}{3}$

Combine like-terms.

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

Report an Error

Example Question #44 : Transformations Of Linear Functions

Translate the function y=3x-15 to the left four units. What is the new equation?

Possible Answers:

y=3x-6

y=3x-12

y=3x+3

y=3x-8

y=3x-3

Correct answer:

y=3x-3

Explanation:

Translation of a graph to the left four units will require replacing the x-variable with the quantity:

(x+4)

Replace the term inside the equation.

y=3(x+4)-15

Use distribution so simplify the terms.

y=3x+12-15

Simplify the equation.

The answer is: y=3x-3

Report an Error

Example Question #45 : Transformations Of Linear Functions

Shift the equation x+3y=17 up two units. What is the new equation?

Possible Answers:

$y=-\frac{1}{3}x-14$

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

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

$y= -\frac{1}{3}x-8$

$y= -\frac{1}{3}x+\frac{23}{3}$

Correct answer:

$y= -\frac{1}{3}x+\frac{23}{3}$

Explanation:

In order to find the equation after the translation, we will need to put the equation in slope-intercept format, y=mx+b .

Subtract from both sides of the equation.

x+3y-x=17-x

The equation becomes: 3y= -x+17

Divide by three on both sides.

$\frac{3y}{3}= \frac{-x+17}{3}$

$y=-\frac{1}{3}x +\frac{17}{3}$

Add two to the y-intercept for the vertical shift. This is the same as adding $\frac{6}{3}$ .

$y=-\frac{1}{3}x +\frac{17}{3}+\frac{6}{3} = -\frac{1}{3}x+\frac{23}{3}$

The equation is: $y= -\frac{1}{3}x+\frac{23}{3}$

Report an Error

Example Question #46 : Transformations Of Linear Functions

If the graph x+y=-9 is translated 5 units left, what is the new equation?

Possible Answers:

y=-x+5

y=-x+14

y=-x-5

y=-x-14

y=-x+19

Correct answer:

y=-x-14

Explanation:

Rewrite the given equation in standard form to slope intercept format, y=mx+b .

Subtract x from both sides.

x+y-x=-9-x

The slope intercept form is: y=-x-9

If the line is translated 5 units to the left, we need to replace the quantity of x with (x+5) .

y=-(x+5)-9

Simplify the equation. Distribute the negative through the binomial.

y=-(x+5)-9 = -x-5-9 =-x-14

The answer is: y=-x-14

Report an Error

View Algebra 2 Tutors

Ping
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Computer Science. University of North Texas, Master of Arts, Education.

View Algebra 2 Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

View Algebra 2 Tutors

Sujay
Certified Tutor

All Algebra II Resources

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

Popular Subjects

Reading Tutors in Philadelphia, Algebra Tutors in Los Angeles, Physics Tutors in Miami, Spanish Tutors in Los Angeles, Spanish Tutors in Dallas Fort Worth, Math Tutors in San Diego, Algebra Tutors in Seattle, Computer Science Tutors in Philadelphia, GMAT Tutors in Los Angeles, Statistics Tutors in Washington DC

Popular Courses & Classes

LSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Phoenix, ACT Courses & Classes in Atlanta, SSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Boston, GMAT Courses & Classes in Washington DC, LSAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Phoenix, ACT Courses & Classes in Seattle, MCAT Courses & Classes in Miami

Popular Test Prep

GRE Test Prep in Philadelphia, ISEE Test Prep in Boston, GMAT Test Prep in Phoenix, ACT Test Prep in Seattle, ACT Test Prep in Atlanta, GMAT Test Prep in Boston, SSAT Test Prep in Los Angeles, SAT Test Prep in Boston, LSAT Test Prep in Philadelphia, SAT Test Prep in Philadelphia

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 : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #87 : Linear Functions

Example Question #88 : Linear Functions

Example Question #371 : Functions And Graphs

Example Question #90 : Linear Functions

Example Question #41 : Transformations Of Linear Functions

Example Question #42 : Transformations Of Linear Functions

Example Question #43 : Transformations Of Linear Functions

Example Question #44 : Transformations Of Linear Functions

Example Question #45 : Transformations Of Linear Functions

Example Question #46 : 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: