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 a 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
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 .
Reflection :
\The graph of , reflect the graph of
about
-axis.
The graph of contains the points
,
and
.
Vertical shift :
\ The graph of shifts the graph of
vertically at a distance of
units towards upward.
The graph of contains the points
,
and
.
Graph :
\Draw the coordinate plane.
\Plot the points.
\Graph the transformed function .
The graph of is