13. Write y = 2x^2 -12x+16 in vertex form.

Please show work if possible so I know how to do it

First off, we factor out the expression:

In the bracket, separate 8 out of the expression.

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

So we add +9 in x^2-6x.

Convert the expression in the small bracket to perfect square.

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

Then we distribute 2 in.

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.