Question

look at this graph: what is the equation of the axis of symmetry?

Explanation:

Step1: Recall axis - of - symmetry formula

For a parabola in the form $y = ax^{2}+bx + c$, the axis of symmetry is given by $x=-\frac{b}{2a}$. Also, the axis of symmetry is a vertical line that passes through the vertex of the parabola.

Step2: Identify vertex's x - coordinate

From the graph, the vertex of the parabola is at the lowest point. By observing the grid, the vertex has an x - coordinate of $x=-3$. So the equation of the axis of symmetry is a vertical line with the equation $x = - 3$.

Answer:

$x=-3$