Question

look at this graph: graph of a parabola opening downward with vertex at (0,0) what is the equation of the axis of symmetry?

Explanation:

Step1: Identify the vertex

The graph is a parabola, and its vertex is at (0, 0) since it's the lowest point (or highest, but here it's the top of the downward - opening parabola) on the graph and lies on the origin.

Step2: Determine the axis of symmetry

For a parabola, the axis of symmetry is a vertical line (if the parabola opens up or down) that passes through the vertex. The equation of a vertical line is of the form \(x = h\), where \(h\) is the x - coordinate of the vertex. Since the vertex has an x - coordinate of 0, the equation of the axis of symmetry is \(x = 0\).

Answer:

\(x = 0\)