Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

f(x) = x² + 2x – 9

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

f(x) = -x² – 2x – 6

Find the degree of the polynomial function.

f(x) = πx⁵ – 6x⁴ – 9

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

F(x) = -3x² + 6x