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

Jul 13, 2015

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

#### Explanation:

Standard form for a quadratic (in variables $x$ and $y$) is
$\textcolor{w h i t e}{\text{XXXX}}$$y = a {x}^{2} + b x + c$

$y = - 3 \left(x - 3\right) \left(x + 2\right)$
can be converted into "standard form" by multiplying the factors on the right side:

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

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