Question

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

Explanation:

Step1: Identify vertex of parabola

The vertex of a parabola is the point where the axis of symmetry passes through. In a parabola opening upwards or downwards, the x - coordinate of the vertex gives the equation of the axis of symmetry. By observing the graph, the vertex of the parabola has an x - coordinate of - 3.

Step2: Write equation of axis of symmetry

The equation of a vertical line is of the form $x = a$, where $a$ is the x - coordinate of any point on the line. Since the axis of symmetry is a vertical line passing through the vertex with x - coordinate - 3, the equation of the axis of symmetry is $x=-3$.

Answer:

$x = - 3$