Question

using the graph, determine the equation of the axis of symmetry.
two points
one point
one equation
answer type:

Explanation:

Step1: Identify the vertex's x - coordinate

The graph is a parabola. The axis of symmetry of a parabola passes through its vertex. From the graph, the vertex of the parabola is at \(x=-3\) (by visually inspecting the peak of the parabola on the x - axis).

Step2: Determine the equation of the axis of symmetry

For a vertical parabola (which this is, since it opens up or down), the equation of the axis of symmetry is a vertical line of the form \(x = h\), where \(h\) is the x - coordinate of the vertex. Since the vertex has an x - coordinate of \(-3\), the equation of the axis of symmetry is \(x=-3\).

Answer:

\(x = - 3\)