# What is the range of the function #y= -3x² + 6x +4#?

##### 1 Answer

**Solution 1.**

The y value of the turning point will determine the range of the equation.

Use the formula

Substitute in the values from the equation;

Substitute

Since the

So the range is

**Solution 2.**

You can find the range visually by graphing the parabola. The following graph is for the equation

graph{-3x^2 + 6x + 4 [-16.92, 16.94, -8.47, 8.46]}

We can see that the maximum value of y is 7. Therefore, the range of the function is