(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).