# How do you find the equation of a parabola with vertex at the origin and focus (0, -3/2)?

##### 1 Answer

Mar 15, 2018

**The equation of parabola is**

#### Explanation:

Focus is at

between focus and directrix. Therefore ,directrix is

The vertex form of equation of parabola is

So the equation of parabola is

Here directrix is above the vertex , so parabola opens downward

and

So the equation of parabola is

graph{-1/6 x^2 [-10, 10, -5, 5]} [Ans]