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)=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning