Question

what's the answer to vertex y=x²+16x+71

Answer 1

y = x^2 + 16x + 71

y - 71 = x^2 + 16x

y - 71 + (8)^2 = x^2 + 16x + (8)^2

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

Factor and simplify

y - 7 = (x + 8)^2

Vertex = (-8, 7)