# What is the the vertex of x =-1/2(y-2)^2-4 ?

Apr 11, 2016

vertex$= \left(- 4 , 2\right)$

#### Explanation:

$x = - \frac{1}{2} {\left(y \textcolor{g r e e n}{- 2}\right)}^{2} \textcolor{red}{- 4}$

Consider the $\textcolor{g r e e n}{2}$ from $\left(y \textcolor{g r e e n}{- 2}\right)$

${y}_{\text{vertex}} = \left(- 1\right) \times \textcolor{g r e e n}{- 2} = + 2$

${x}_{\text{vertex}} = \textcolor{red}{- 4}$