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