Step 1 :The vertex of a parabola is given as (-3,2).
Step 2 :The axis of symmetry for a parabola is a vertical line that passes through the vertex of the parabola.
Step 3 :Therefore, the equation of the axis of symmetry is \(x = -3\).
Step 4 :Final Answer: The equation of the axis of symmetry is \(\boxed{x = -3}\).