Question

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

Explanation:

Step1: Identify the vertex

The graph is a parabola opening down - ward. The vertex is at the point $(0,0)$.

Step2: Recall the formula for axis of symmetry

For a parabola in the form $y = ax^{2}+bx + c$, the equation of the axis of symmetry is $x=-\frac{b}{2a}$. For a parabola symmetric about the y - axis (vertex at $(0,0)$), the equation of the axis of symmetry is $x = 0$.

Answer:

$x = 0$