Question

Question #9728b

Answer 1

`f(x) = -3x^2 - 12x - 6`

Explanation:

Standard form of a parabola is `f(x) = ax^2 + bx + c`.

First, let's distribute out `(x+2)^2`.

`(x+2)^2`

`(x+2)(x+2)`

`(x * x + 2 * x + 2 * x + 2 * 2)`

`x^2 + 4x + 4`

Now, plug this in to the equation and simplify.

`-3(x+2)^2 + 6`

`-3(x^2 + 4x + 4) + 6`

`-3x^2 - 12x - 12 + 6`

`-3x^2 - 12x - 6`

Final Answer