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

Answer:

$x = - 2$

Explanation:

Step1: Identify vertex of parabola

The vertex of the parabola is at $(-2,-9)$.

Step2: Recall axis - of - symmetry property

For a parabola, the axis of symmetry is a vertical line passing through the vertex.

Step3: Write the equation

The equation of a vertical line is $x = a$, where $a$ is the $x$ - coordinate of the vertex. Here $a=-2$, so the equation of the axis of symmetry is $x = - 2$.