The quadratic function is .
Rewrite the quadratic function
Now we can write perfect square.
\Compare the above quadratic function with , then
. \ \
The vertex of the function is and axis symmetry is
.
Since , the graph opens down and has the same shape as the graph of
,
but it is translated 2 units left and 12 units up.
The vertex of the quadratic function is , axis symmetry is
and
the graph opens down and translated 2 units left and 12 units up. \ \