Observe the graph:
\The parent function is quadratic function .
The graph is reflected in the -axis.
Minimum point of the parent function is .
Maximum point of is
.
The parent graph is translated by units down.
The graph of appears to be
reflected in the
-axis ,
units to the left and translated
units down.
Let represents the dilation.
So far, we have .
Use the point to determine the dilation.
Since , the graph compressed vertically.
The function is .
Therefore, the graph of is the graph of
translated
units to the left, compressed vertically, reflected in the
-axis, and translated
units down.
Parent function is .
The graph of is the graph of
translated
units to the left, compressed vertically, reflected in the
-axis, and translated
units down.