Question

What is the vertex of g(x) = 3x2 − 12x + 7?

A. (−6, −5)
B. (−2, −5)
C. (2, −5)
D. (6, −5)

Answer 1

C) (2, -5).

Explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).

Answer 2

It would be C

Explanation:

(2, -5)

You just to change to vertex form