Question

Stuck! Help please!!

Answer 1

Answer:  x = -1

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.