(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)
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(b)
.
(c)
.
(d)
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(e)
.
(f)
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(g)
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(h)
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