# How do you find the domain and range of #y = −3x^2 − 3x + 4#?

##### 1 Answer

This is a quadratic funtion and the domain is all the Real

The range is a little bit tricky.

The graph of a quadratic is a PARABOLA...basically a U shaped curve.

The position of the lowes (or highest) point gives us the possibility to "see" the range!

Your quadratic has

The highest point is called the Vertex and is given (the coordinates) as (if you have your quadratic in the general form:

with

in your case:

So your range is all the

Graphically:

graph{-3x^2-3x+4 [-10.62, 7.16, 1.22, 10.11]}