Exercise 1.3.1

Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of f as follows.

(a)
Shift 3 units upward.
(b)
Shift 3 units downward.
(c)
Shift 3 units to the right.
(d)
Shift 3 units to the left.
(e)
Reflect about the x -axis.
(f)
Reflect about the y -axis.
(g)
Stretch vertically by a factor of 3 .
(h)
Shrink vertically by a factor of 3 .

Answers

(a)
f ( x ) + 3 ;
(b)
f ( x ) 3 ;
(c)
f ( x 3 ) ;
(d)
f ( x + 3 ) ;
(e)
f ( x ) ;
(f)
f ( x ) ;
(g)
3 f ( x ) ;
(h)
1 3 f ( x ) .
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2023-08-09 05:14
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