Question

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

Explanation:

Step1: Identify vertex of parabola

The vertex of the parabola is the point where the parabola changes direction. For a parabola opening upwards or downwards, the axis of symmetry passes through the vertex. From the graph, the vertex of the parabola is at the point $(-6,-1)$.

Step2: Write equation of axis of symmetry

The equation of the axis of symmetry for a parabola that opens upwards or downwards is of the form $x = h$, where $(h,k)$ is the vertex of the parabola. Here $h=-6$. So the equation of the axis of symmetry is $x=-6$.

Answer:

$x = - 6$