Question

look at this graph: graph of a parabola what is the equation of the axis of symmetry?

Explanation:

Step1: Identify the parabola's vertex

The graph is a parabola (quadratic function) opening upwards. The vertex of the parabola is at \((0, -5)\), and it's symmetric about the vertical line passing through the vertex.

Step2: Determine the axis of symmetry

For a parabola, the axis of symmetry is a vertical line (since the parabola opens up/down) that passes through the vertex. The x - coordinate of the vertex is \(0\), so the equation of the axis of symmetry is \(x = 0\) (which is the y - axis).

Answer:

\(x = 0\)