Observe the graph:
\The parent function is cubic function
.
The graph is reflected in the
-axis.
Inflection point of the parent function is
.
Inflection point of
is
.
The graph of
appears to be
reflected in the
-axis ,
units to the right and translated
units up.
Let
represents the dilation.
So far, we have
.
Use the point
to determine the dilation.



Since
, the graph expanded vertically.
The function is
.
Therefore, the graph of
is the graph of
translated
units to the right, expanded vertically, reflected in the
-axis, and translated
units up.
Parent function is
.
The graph of
is the graph of
translated
units to the right, expanded vertically, reflected in the
-axis, and translated
units up.