# What is the vertex form of #5y = -9x^2-4x+2#?

##### 1 Answer

#### Explanation:

A quadratic function of the form

The vertex is the point at which the parabola intersects its axis of symmetry. The axis of symmetry occurs where

In our example:

Hence,

At the axis of symmetry

(This is the

So,

(This is the

Hence, the quadratic in vertex form is:

We can see the vertex on the graph of

graph{-9/5x^2-4/5x+2/5 [-3.592, 3.336, -2.463, 1.002]}