what is the equation of the axis of symmetry?

Explanation:

Step1: Identify the vertex - x - coordinate

The graph of a parabola is symmetric about a vertical line passing through its vertex. For the given parabola, the vertex lies on the y - axis. The x - coordinate of the vertex is the value for which the parabola is symmetric. Here, the vertex has an x - coordinate of 0.

Step2: Write the equation of the axis of symmetry

The equation of a vertical line is of the form x = a, where a is the x - coordinate of any point on the line. Since the axis of symmetry passes through x = 0 for this parabola, the equation is x = 0.

Answer:

x = 0