# How do you write the equation y= -3 (x-3) (x+2) in standard form?

Nov 10, 2016

Please see the explanation for steps leading to the standard form:

$y = - 3 {x}^{2} + 3 x + 18$

#### Explanation:

Use the F.O.I.L method to multiply the binomials:

$y = - 3 \left({x}^{2} + 2 x - 3 x - 6\right)$

Combine the x terms into one:

$y = - 3 \left({x}^{2} - x - 6\right)$

Use the distributive property:

$y = - 3 {x}^{2} + 3 x + 18$