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

← Previous 1 2 Next →

Example Question #11 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect $\frac{1}{2}f(x)$ creates.

Possible Answers:

$\frac{1}{2}f(x)$ widens the original function f(x)=x^2

$\frac{1}{2}f(x)$ narrows the original function f(x)=x^2

$\frac{1}{2}f(x)$ moves the original function f(x)=x^2 down half a unit

$\frac{1}{2}f(x)$ moves the original function f(x)=x^2 up half a unit

Correct answer:

$\frac{1}{2}f(x)$ widens 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.

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 $\frac{1}{2}f(x)$

Q10

The function $\frac{1}{2}f(x)$ in the graph above has a -intercept at zero and the graph widens.

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.

Q10 2

Step 4: Answer the question.

$\frac{1}{2}f(x)$ widens the original function f(x)=x^2

Report an Error

Example Question #12 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3

Given the function f(x)=x^2 identify the graphically effect $\frac{1}{4}f(x)$ creates.

Possible Answers:

$\frac{1}{4}f(x)$ moves the original function f(x)=x^2 up four units

$\frac{1}{4}f(x)$ widens the original function f(x)=x^2

$\frac{1}{4}f(x)$ narrows the original function f(x)=x^2

$\frac{1}{4}f(x)$ moves the original function f(x)=x^2 down four units

Correct answer:

$\frac{1}{4}f(x)$ widens 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 $\frac{1}{4}f(x)$

Q12

The function $\frac{1}{4}f(x)$ in the graph above has a -intercept at zero and the graph widens.

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.

Q12 2

Step 4: Answer the question.

$\frac{1}{4}f(x)$ widens the original function f(x)=x^2

Report an Error

← Previous 1 2 Next →

View Tutors

John
Certified Tutor

Anderson University, Bachelor in Arts, Music Performance.

View Tutors

Bill
Certified Tutor

SUNY Empire State College, Bachelors, General Sciences, Theater.

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

All Common Core: High School - Functions Resources

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

Popular Subjects

SAT Tutors in Houston, Biology Tutors in Houston, Chemistry Tutors in San Francisco-Bay Area, French Tutors in Miami, LSAT Tutors in Boston, French Tutors in New York City, MCAT Tutors in Washington DC, ACT Tutors in Boston, Calculus Tutors in Denver, Physics Tutors in Los Angeles

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, LSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Los Angeles, SAT Courses & Classes in San Diego, GMAT Courses & Classes in Miami, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in San Diego, GRE Courses & Classes in Los Angeles, SAT Courses & Classes in Denver, MCAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

MCAT Test Prep in Phoenix, GRE Test Prep in Los Angeles, GRE Test Prep in Boston, LSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Phoenix, GRE Test Prep in New York City, GMAT Test Prep in Atlanta, ISEE Test Prep in New York City, SSAT Test Prep in Philadelphia, SSAT Test Prep in Phoenix

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

Example Question #12 : 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: