Suppose that the graph of f(x)=x 2+x 4  is compressed horizontally by a factor of 2 and is then shifted 7 units to the right.   1) What is the equation of this new graph? y(x)=    2) Graph both y=f(x) and y=y1(x) using the graphing utility. Separate each expression with a comma to graph both curves on the same axes. y=   3) What is the new equation if you first shift by 7 units to the right and then compress horizontally by a factor of 2? (Express numbers in exact form. Use symbolic notation and fractions where needed.) y(x)=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
icon
Related questions
Topic Video
Question

Suppose that the graph of f(x)=x 2+x 4

 is compressed horizontally by a factor of 2 and is then shifted 7 units to the right.

 

1) What is the equation of this new graph?

y(x)= 

 

2) Graph both y=f(x) and y=y1(x) using the graphing utility. Separate each expression with a comma to graph both curves on the same axes.

y=

 

3) What is the new equation if you first shift by 7 units to the right and then compress horizontally by a factor of 2?

(Express numbers in exact form. Use symbolic notation and fractions where needed.)

y(x)= 

 

4) Graph both y=f(x) andy=y2(x) using the graphing utility. Separate each expression with a comma to graph both curves on the same axes.

y=

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning