Question

By completing the square, work out the coordinate of the turning point of the curve y= x²+ 16x -7

Answer 1

(-8,-71)

Explanation:

I assume by turning point it means the vertex:

`y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71`

Now that we converted our equation to vertex form
`y=(x+h)^2+k`, we can see our vertex, or turning point, is (h,k)=(-8,-71)