# How do you write the vertex form equation of the parabola y=x^2+6?

Feb 21, 2018

$y = {\left(x - 0\right)}^{2} + 6 = {x}^{2} + 6$

#### Explanation:

$\text{the equation of a parabola in "color(blue)"vertex form}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = a {\left(x - h\right)}^{2} + k} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where "(h,k)" are the coordinates of the vertex and a is}$
$\text{a multiplier}$

$y = {x}^{2} + 6 \text{ is in this form}$

$\text{that is "y=(x-0)^2+6larrcolor(red)"in vertex form}$

$\text{with vertex } = \left(0 , 6\right)$
graph{x^2+6 [-20, 20, -10, 10]}