# What is the y intercept of -2y=3x^2-3?

Apr 22, 2018

The y-intercept is $\left(0 , \frac{3}{2}\right)$ or $\left(0 , 1.5\right)$.

#### Explanation:

Given:

$- 2 y = 3 {x}^{2} - 3$

The y-intercept is the value of $y$ when $x = 0$. Substitute $0$ for $x$ in the equation and solve for $y$.

$- 2 y = 3 {\left(0\right)}^{2} - 3$

$- 2 y = - 3$

Divide both sides by $- 2$.

$y = \frac{- 3}{- 2}$

$y = \frac{3}{2}$

The y-intercept is $\left(0 , \frac{3}{2}\right)$ or $\left(0 , 1.5\right)$.

This is also the vertex for this particular parabola.

graph{-2y=3x^2-3 [-10, 10, -5, 5]}