Question

using the graph, determine the equation of the axis of symmetry.

Explanation:

Step1: Identify the vertex

The vertex of the parabola (the highest point for a downward - opening parabola) is at the point \((2,1)\).

Step2: Determine the axis of symmetry

For a parabola, the axis of symmetry is a vertical line that passes through the vertex. The equation of a vertical line is of the form \(x = h\), where \((h,k)\) is the vertex of the parabola. Since the \(x\) - coordinate of the vertex is \(2\), the equation of the axis of symmetry is \(x = 2\).

Answer:

\(x = 2\)