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| PAGE: 43 | SET: Exercises | PROBLEM: 5 |
(a)
The function is 
.
Horizontal shrink: 
,shrink the graph of 
horizontally by a factor of 
.
Therefore, 
is the graph of horizontally shrink by a factor of 
.
Graph:
Graph the function .
(1) Draw the coordinate plane.
(2) Graph the function .
(3) Shrink the graph of horizontally by a factor of .
.gif)
(b)
The function is 
.
Horizontal stretch: 
,stretch the graph of horizontally by a factor of .
Therefore, 
is the graph of stretched horizontally by a factor of .
Graph :
Graph of the function .
(1) Draw the coordinate plane.
(2) Graph the function .
(3) Stretch the graph of horizontally by a factor of .
.gif)
(c)
The function is 
.
Reflection : 
, reflect the graph of about the 
axis.
Therefore, is the graph of reflect about the 
axis.
Graph :
Graph of the function .
(1) Draw the coordinate plane.
(2) Graph the function .
(3) Reflect the graph of about the axis.
(d)
The function is 
.
Reflection : , reflect the graph of about the axis.
Reflection : 
, reflect the graph of about the 
axis.
Therefore, 
is the graph of reflect about the axis and reflect about the 
axis.
Graph :
Graph of the function .
(1) Draw the coordinate plane.
(2) Graph the function .
(3) Reflect the graph of about the axis and then about the axis.
(a) Graph of the function is
(b) Graph of the function is
(c) Graph of the function is
(d) Graph of the function is
.
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