Question

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

Explanation:

Step1: Identify graph type

The graph is a parabola.

Step2: Recall formula for axis of symmetry

For a parabola in the form $y = ax^{2}+bx + c$, the axis - of - symmetry is given by $x=-\frac{b}{2a}$. For a parabola symmetric about the y - axis (which this appears to be), the equation of the axis of symmetry is $x = 0$. From the graph, we can see that the parabola is symmetric about the vertical line passing through the vertex which lies on the y - axis.

Answer:

$x = 0$