Which function is equivalent to h(x)= -3(x - 2)^2 - 4?

Answer 1

I'm assuming there are options to this question, but another way to write that function would be in standard form as follows:

-3(x-2)² - 4

-3(x² - 4x + 4) - 4 (expand the binomial)

-3x² + 12x - 12 - 4 (distribute -3)

-3x² + 12x - 16 (equivalent function in standard form)

We'll call it g(x) = -3x² + 12x - 16