# How do you write y=-2(x+1)^2 +3 in standard form?

Jun 15, 2015

In standard form: $y = - 2 {x}^{2} - 4 x + 1$

#### Explanation:

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

$y = - 2 {\left(x + 1\right)}^{2} + 3$
can be expanded as
$\textcolor{w h i t e}{\text{XXXX}}$$y = \left(- 2\right) \left({x}^{2} + 2 x + 1\right) + 3$

$\textcolor{w h i t e}{\text{XXXX}}$$y = - \left(- 2 {x}^{2} - 4 x - 2\right) + 3$

$\textcolor{w h i t e}{\text{XXXX}}$$y = - 2 {x}^{2} - 4 x + 1$