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 axis of symmetry of a parabola (the graph here is a parabola) is a vertical line that passes through the vertex of the parabola. For a vertical parabola, the equation of the axis of symmetry is of the form \(x = h\), where \(h\) is the x - coordinate of the vertex. From the graph, we can observe the vertex of the parabola. Looking at the grid, the vertex of the parabola is at \(x=-3\) (by visually inspecting the highest point of the parabola on the x - axis).

Step2: Determine the equation of the axis of symmetry

Since the axis of symmetry is a vertical line passing through \(x = - 3\), the equation of the axis of symmetry is \(x=-3\).

Answer:

\(x = - 3\)