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.