# How do you convert y = -2x^2 + 4x - 5 into vertex form?

Nov 3, 2016

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

#### Explanation:

Simply complete the square.

$y = - 2 \left({x}^{2} - 2 x\right) - 5$

$y = - 2 \left({x}^{2} - 2 x + 1 - 1\right) - 5$

$y = - 2 \left({x}^{2} - 2 x + 1\right) + 2 - 5$

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

Hopefully this helps!