Given the equation f (x) = (x + 3) 2 - 8, fill in the blanks:

Axis of symmetry: x =

Vertex: (,)

Number of real solutions:

Quadratic f (x) = (x - h) ² + k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.

In your equation, h = - 3 and k = - 8.

Axis of symmetry: x = - 3

Vertex: (-3, - 8)

Number of real solutions: 2