# How do you write the Vertex form equation of the parabola y=2x^2+10+9?

Mar 21, 2017

$y = 2 {\left(x + \frac{5}{2}\right)}^{2} - \frac{7}{2}$

#### Explanation:

Assuming you meant $10 \textcolor{red}{x}$, not $10$

$y = 2 {x}^{2} + 10 x + 9$

$y = 2 \left[{x}^{2} + 5 x + \frac{9}{2}\right]$

$y = 2 \left[{\left(x + \frac{5}{2}\right)}^{2} - \frac{25}{4} + \frac{9}{2}\right]$

$y = 2 \left[{\left(x + \frac{5}{2}\right)}^{2} - \frac{7}{4}\right]$

$y = 2 {\left(x + \frac{5}{2}\right)}^{2} - \frac{7}{2}$