Question

The function f(x) = x^2 - 12x + 5 written in vertex form is f(x)=(x-6)^2 - 31. What are the coordinates of the vertex?

(6,31)
(-6,31)
(6,-31)
(-6, -31)

Answer 1

(6, - 31)

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 6)² - 31 ← is in vertex form

with vertex = (6, - 31 )

Answer 2

The coordinates for the vertex is (6,-31)