Question

How do you find the axis of symmetry, and the maximum or minimum value of the function `f(x)= x^2+2x-7`?

Answer 1

minimum at vertex (-1, -8)

Explanation:

x- coordinate of axis of symmetry, and of vertex:
`x = -b/(2a) = -2/2 = -1`
y-coordinate of vertex:
f(-1) = 1 - 2 - 7 = - 8
Since a > 0, the parabola graph opens upward and has a minimum at vertex (-1, -8)