Question

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

Explanation:

Step1: Identify vertex x - coordinate

For a parabola \(y = ax^{2}+bx + c\), the axis of symmetry is \(x=-\frac{b}{2a}\). Visually, for a parabola, the axis of symmetry passes through the vertex. By observing the graph, the vertex of the parabola lies on the vertical line that splits the parabola into two mirror - image halves. The x - coordinate of the vertex of the given parabola is \(x = 2\).

Answer:

\(x = 2\)