# How do you identify the following equation x = (y + 4)^2 - 2 as a circle, parabola, ellipse or hyperbola?

Jan 17, 2016

$x = {\left(y + 4\right)}^{2} - 2$ is a parabola with a horizontal axis of symmetry.
$\textcolor{w h i t e}{\text{XXX}} y = {\left(x + 4\right)}^{2} - 2$
The given equation simply has exchanged the $x$ and $y$ variables, effectively exchanging the x and y axis.