The quadratic function is .

(Add and subtract to right side of 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 up and has the same shape as the graph of ,

but it is translated 3 units right and 8 units down.

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

the graph opens up and translated 3 units right and 8 units down. \ \