Let f be a function where f(x)= x² + 3. YA 16 12 -10 -8 -6 -4 -2 0 8 Priya wants to transform the graph of f by stretching it horizontally by a factor of 5. She says that an equation for her new function p in terms of f is p(x) = f(5x) which means p(x) = (5x)² + 3 . Is Priya's equation correct? Explain or show your reasoning. 2. 8.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 36E
icon
Related questions
Question
Let f be a function where f(x) = x² + 3.
YA
16
12
-10 -8 -6 -4 -2 0
2
8.
Priya wants to transform the graph of f by stretching it horizontally by a factor of 5. She says that an
equation for her new function p in terms of f is p(x) = f(5x) which means p(x) = (5x)² + 3 . Is
Priya's equation correct? Explain or show your reasoning.
No because if you were to put (5x)^2 it would be a horizontal compression instead since the function for
horizontal stretch is f(x) = (1/2x)
9.
Transcribed Image Text:Let f be a function where f(x) = x² + 3. YA 16 12 -10 -8 -6 -4 -2 0 2 8. Priya wants to transform the graph of f by stretching it horizontally by a factor of 5. She says that an equation for her new function p in terms of f is p(x) = f(5x) which means p(x) = (5x)² + 3 . Is Priya's equation correct? Explain or show your reasoning. No because if you were to put (5x)^2 it would be a horizontal compression instead since the function for horizontal stretch is f(x) = (1/2x) 9.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning