# What is standard form of the parabola: 4x + y^2+ 2y=-5?

Jun 11, 2015

$x = - \frac{1}{4} {y}^{2} - \frac{1}{2} y - 5$

#### Explanation:

Since this is a parabola with a horizontal axis of symmetry,
its standard form is
$\textcolor{w h i t e}{\text{XXXX}}$$x = a {y}^{2} + b y + c$

A bit of rearranging of terms should give the equation specified in the Answer.
(Note: this equation is not a function.)