# What is the vertex of  y = 2 (x - 4)^2 + 5 ?

Apr 22, 2018

(4,5)

#### Explanation:

$a {\left(x - h\right)}^{2} + k$
$\left(h , k\right)$ is vertex

Apr 22, 2018

$\text{vertex } = \left(4 , 5\right)$

#### Explanation:

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

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

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

$y = 2 {\left(x - 4\right)}^{2} + 5 \text{ is in vertex form}$

$\text{with "h=4" and } k = 5$

$\Rightarrow \textcolor{m a \ge n t a}{\text{vertex }} = \left(4 , 5\right)$