Transformations

Question

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

Axis of symmetry: x =

Vertex: ( , )

Number of real solutions: 

Answer 1

Given the vertex form: y = (x - h)² + k where (h,k) is the vertex and x = h is the axis of symmetry,

Axis of Symmetry = -3

Vertex = (-3,-8)

This quadratic has 2 real solutions. When graphed it crosses the x-axis at 2 points.