Question

Given the function: f (x)= -3(x+2)² + 5, how do you rewrite in standard form?

Answer 1

`f(x) = -3x^2-12x-7`

Explanation:

Expand the brackets:

`f(x) = -3(x^2+4x+4) + 5`

Multiply out the bracket:

`f(x) = -3x^2-12x-12 + 5`

Collect like terms:

`f(x) = -3x^2-12x-7`, as required