Let f be a function where f(x) = x² + 3. YA 16 12 -10 -8 -6 -4 -2 0 2 4 6 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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Let f be a function where f(x) = x² + 3.
YA
16
12
- 10 -8 -6 -4 -2 0 2
4
6 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.
Transcribed Image Text:Let f be a function where f(x) = x² + 3. YA 16 12 - 10 -8 -6 -4 -2 0 2 4 6 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.
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