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| PAGE: 42 | SET: Exercises | PROBLEM: 1 |
(a)
Find the equation of 
shift 3 units upwards.
Vertical shift : 
, shift the graph of 
a distance 
units upward.
Here 
.
The equation of the graph of 
shift 3 units upwards is 
.
(b)
Find the equation of shift 3 units downward.
Vertical shift : 
, shift the graph of 
a distance 
units downward.
Here 
.
The equation of the graph of shift 3 units downwards is 
.
(c)
Find the equation of shift 3 units to the right.
Horizontal shift : 
, shift the graph of a distance units to the right.
Here .
The equation of the graph of shift 3 units to the right is 
.
(d)
Find the equation of shift 3 units to the left.
Horizontal shift : 
, shift the graph of a distance units to the left.
Here .
The equation of the graph of shift 3 units to the left is 
.
(e)
Find the equation of reflect about the 
axis.
Reflection : 
, reflect the graph of about the axis.
The equation of the graph of reflect about the axis is 
.
(f)
Find the equation of reflect about the 
axis.
Reflection : 
, reflect the graph of about the axis.
The equation of the graph of reflect about the axis is 
.
(g)
Find the equation of stretch vertically by a factor of 3.
Vertical stretch : 
, stretch the graph of vertically by a factor of .
Here .
The equation of the graph of stretch vertically by a factor of 3 is 
.
(h)
Find the equation of shrink vertically by a factor of 3.
Vertical shrink :
, shrink the graph of vertically by a factor of .
Here .
The equation of the graph of shrink vertically by a factor of 3 is 
.
(a) 
.
(b) 
.
(c) 
.
(d) 
.
(e) .
(f) .
(g) 
.
(h)
.
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