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

Dec 14, 2017

$f \left(x\right) = - 3 {x}^{2} - 12 x - 7$

#### Explanation:

Expand the brackets:

$f \left(x\right) = - 3 \left({x}^{2} + 4 x + 4\right) + 5$

Multiply out the bracket:

$f \left(x\right) = - 3 {x}^{2} - 12 x - 12 + 5$

Collect like terms:

$f \left(x\right) = - 3 {x}^{2} - 12 x - 7$, as required