# How do you find the vertex, focus and directrix of #4x^2 + 6x -y + 2 = 0#?

##### 1 Answer

Nov 9, 2016

The vertex

The focus is

The equation of the directrix is

#### Explanation:

Let's rewrite the equation by completing the squares

This is a parabola

We compare this to the equation of the parabola

The focus is

The equation of the directrix is

graph{(4x^2+6x-y+2)(y+5/16)=0 [-3.459, 1.409, -1.378, 1.056]}