Question

Question #67e0f

Answer 1

The vertex form is `y=(x+8)^2+7`

Explanation:

We need

`a^2+2ab+b^2=(a+b)^2`

We complete the squares and factorise

`y=x^2+16x+71`

`y=(x^2+16x)+71`

`y=(x^2+16x+64)+71-64`

`=(x+8)^2+7`

The vertex is `V=(-8,7)`

graph{x^2+16x+71 [-35.51, 15.84, -2.09, 23.56]}