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

Apr 7, 2016

color(blue)("vertex "-> (x,y) ->(-5,-2)

#### Explanation:

This is a transformed quadratic: rotated clockwise by $\frac{\pi}{2} \to {90}^{o}$

So you swap round the x's and y's

$\textcolor{g r e e n}{\text{If it was a standard quadratic then vertex} \to \left(x , y\right) \to \left(- 2 , - 5\right)}$

$\textcolor{b r o w n}{\text{But we have to swap the values round so we have:}}$

color(blue)("vertex "-> (x,y) ->(-5,-2)