Question

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

Answer 1

since the coefficient of x^2 is positive, we know the parabola opens upward, so it minimum.

The vertex of the parabola is at x = -1, so plug that in to get y.

Or, complete the square:

y = x^2+2x+1 - 8
y = (x+1)^2 - 8
y+8 = (x+1)^2

Now you can just read off the coordinates.