Question

Complete the square to identify the vertex of y=x2−16x+14
.(1 point)
Responses

(8,30)
left parenthesis 8 comma 30 right parenthesis

(8,14)
left parenthesis 8 comma 14 right parenthesis

(8,78)
left parenthesis 8 comma 78 right parenthesis

(8,−50)

Answer 1

Complete the square:
y = x^2 − 16x + 14
= (x^2 − 16x + 64) + 14 − 64
= (x − 8)^2 − 50.

Vertex is (8, −50). So the correct choice is (8, −50).