The quadratic function is .
(Add and subtract to right side of the function)
Now we can write perfect square.
\Rewrite the quadratic function .
Compare the above quadratic function with , then
.
The vertex of the function is and axis symmetry is
.
Since a = 1, the graph opens up and has the same shape as the graph of ,
but it is translated 4 units left and 19 units down.
The vertex of the quadratic function is , axis symmetry is
and
the graph opens up and translated 4 units left and 19 units down.