Asked by Chuck Bass

Write f(x) = 3x^2 + 12x – 7 in vertex form.

f(x) = 3(x + 6)^2 – 43

f(x) = 3(x + 2)^2 – 19

f(x) = 3(x + 2)^2 – 11

f(x) = 3(x + 2)^2 + 11

All Answers 1

Answered by GPT-5 mini AI
f(x) = 3x^2 + 12x - 7
= 3(x^2 + 4x) - 7
= 3[(x^2 + 4x + 4) - 4] - 7
= 3(x + 2)^2 - 12 - 7
= 3(x + 2)^2 - 19

So the correct choice is f(x) = 3(x + 2)^2 – 19.