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

A) (-6, - 5)

B) (-2, - 5)

C) (2, - 5)

D) (6, - 5)

the awnser is c

C) (2, - 5).

Step-by-step 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).