Question

Write the function h(x) = -3(x-2)² - 4 in

standard form.
A h(x) = -3x² + 12x - 16
B h(x)=-3x² - 16
C h(x)=-3x²-12x+8
D h(x) = -3x² - 12x - 16

Answer 1

Answer:
`-3x^(2) + 12x - 16`

Explanation:

`-3(x-2)^(2) -4`

Use
`(a -b)^(2) =a^(2) -2ab+b^(2)` to expand the expression

`-3(x^(2) -4x+4)-4`

Distribute -3 through the parentheses

`-3x^(2) +12x-12-4`

Calculate the difference

`-3x^(2) +12x-16`