Question

state the axis of symmetry for this graph.

Explanation:

Step1: Identify vertex x - coordinate

The axis of symmetry of a parabola passes through its vertex. For a parabola opening vertically, the x - coordinate of the vertex gives the equation of the axis of symmetry. In the given graph, the vertex of the parabola is at the point where the parabola changes direction. Visually, we can see that the x - coordinate of the vertex is $x = 0$.

Answer:

$x = 0$