Question

Use the vertex formula to find the vertex of the following quadratic function.

f(x) = - 8x² + 24x

Answer 1

The vertex of the quadratic function f(x) = -8x² + 24x is (3, 72).

Step-by-step explanation:

To find the vertex of the quadratic function f(x) = -8x² + 24x, we can use the vertex formula. The vertex formula is given by x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, a = -8 and b = 24. Plugging these values into the formula, we get x = -24 / (2 * -8) = 3.

Now, to find the corresponding y-coordinate, we substitute the value of x back into the original function: f(3) = -8(3)² + 24(3) = 72. Therefore, the vertex of the quadratic function is (3, 72).