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

Dec 14, 2016

Since we're dealing with a quadratic, the standard form will look like:

$A {x}^{2} + B x + C = 0$

Thus, we must expand the function and organize as such:

$y = - 2 {\left(x + 1\right)}^{2} + 3$

$- 2 \left({x}^{2} + 2 x + 1\right) + 3 = 0$

Distribute and simplify:

$- 2 {x}^{2} - 4 x + 1 = 0$