Answer: x = -1
Step-by-step explanation:
The given quadratic is in the form y = ax^2 + bx + c
We have a = 1, b = 2, c = 2
This then leads to
h = -b/(2a)
h = -2/(2*1)
h = -1
This is the x coordinate of the vertex (h,k)
The axis of symmetry is the vertical line passing through the vertex. So it must share the x value in question.
Meaning the axis of symmetry is x = -1. Every point on this vertical line has an x coordinate of -1. This line of symmetry splits the parabola into two equal mirrored halves.
I recommend using a graphing tool like Desmos to visually confirm the answer.