Question

HELP

Which function is equivalent to y = 3(x + 2)2 + 7?

A y = 3x2 + 12x + 33

B y = 3x2 + 12x + 19

C y = 3x2 + 19

D y = 3x² + 33

Answer 1

B y = 3x^2 + 12x + 19

Explanation:

y = 3(x + 2)^2 + 7

To expand the square of the binomial,

either recall that (a + b)^2 = a^2 + 2ab + b^2, or use FOIL.

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

y = 3x^2 + 12x + 12 + 7

y = 3x^2 + 12x + 19

Answer: B y = 3x^2 + 12x + 19