The quadratic function is .

Rewrite the quadratic function

(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 , the graph opens down and has the same shape as the graph of ,

but it is translated 3 units left and 38 units up.

The vertex of the quadratic function is , axis symmetry is and

the graph opens down and translated 3 units left and 38 units up.