quadratic functions

Question

Rewrite the given quadratic function in the form f(x) = a(x - h)² + k. Then, enter the x-coordinate of the minimum point of the function.

The rewritten function is f(x) = (x - )² + . The x-coordinate of the minimum value of the function is .

Answer 1

f(x) = 4x² - 12x - 15

f(x) = 4(x² - 3x) - 15

f(x) = 4(x² - 3x + 1.5²) - 15 - 9

f(x) = 4(x - 1.5)² - 24

At what point is the minimum (hint: it's the vertex)