(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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