The function is .
The parent function is .
Properties of power functions :
\The graph of is always contains the points
,
and
.
Graph the parent function :
1).Draw the coordinate plane.
\2). Plot the points.
\3). Connect the points with smooth curve.
\Consider the function .
Horizontal shift:
\The graph of , shifts the graph of
horizontally at a distance of
units towards left.
The graph of contains the points
,
and
.
Graph :
\Draw the coordinate plane.
\Plot the points.
\Graph the transformed function .
The function is .
Vertical shift :
\The graph of shifts the graph of
vertically at a distance of
units towards downwards.
\
The graph of contains the points
,
and
.
Graph :
\Draw the coordinate plane.
\Plot the points.
\Graph the transformed function .
The graph of is