Y=x^2+16x+71 equation for parabola

To conver to vertex form, complete the square

y=a (x-h) ^2+k

vertex is (h, k)

y=x^2+16x+71

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

16/2=8, 8^2=64

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

y = ((x+8) ^2-64) + 71

y = (x+8) ^2-64+71

y=1 (x+8) ^2+7

vertex = (-8,7)

That is the equation for a parabola ...