3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by transforming y= f(x). (-7,6) ( 3, 4 ) (-3,-4) O(7,-6) y= f(x)-4 y =-f(x) y=2f(x) b) Explain y=-f(-x) would be the same graph as the original function y= f(x). c) Write the equation that would produce a horizontal stretch by a factor of 2 in terms of y = f(x). .... .. . ... ... ... .... ... ... ... ... ... .... ... ... ... ... .... ... .... ... . ... .... ... ... ... .... ... ... .... ... ... ... ... ... .... ... .... ... .. .. ... . ... .... ... ... ... .... ... ... .... ... ... '.. ... .... ... ... ... ... .... . .... .... .. .... .... ...
3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by transforming y= f(x). (-7,6) ( 3, 4 ) (-3,-4) O(7,-6) y= f(x)-4 y =-f(x) y=2f(x) b) Explain y=-f(-x) would be the same graph as the original function y= f(x). c) Write the equation that would produce a horizontal stretch by a factor of 2 in terms of y = f(x). .... .. . ... ... ... .... ... ... ... ... ... .... ... ... ... ... .... ... .... ... . ... .... ... ... ... .... ... ... .... ... ... ... ... ... .... ... .... ... .. .. ... . ... .... ... ... ... .... ... ... .... ... ... '.. ... .... ... ... ... ... .... . .... .... .. .... .... ...
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
 alt="3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by
transforming y= f(x).
(-7,6)
( 3, 4 )
(-3,-4)
O(7,-6)
y= f(x)-4
y =-f(x)
y=2f(x)
b) Explain y=-f(-x) would be the same graph as the original function y= f(x).
c) Write the equation that would produce a horizontal stretch by a factor of 2 in terms of
y = f(x).
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Transcribed Image Text:3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by
transforming y= f(x).
(-7,6)
( 3, 4 )
(-3,-4)
O(7,-6)
y= f(x)-4
y =-f(x)
y=2f(x)
b) Explain y=-f(-x) would be the same graph as the original function y= f(x).
c) Write the equation that would produce a horizontal stretch by a factor of 2 in terms of
y = f(x).
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.. .
...
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