Question

what is equation of the axis of symmetry? x = 0 y = 2 y = - 9 x = - 9 x = 2

Explanation:

Step1: Recall the axis of symmetry of a parabola

For a parabola in the form \(x = a(y - k)^2+h\), the axis of symmetry is \(y = k\). For a parabola in the form \(y=ax^{2}+bx + c\), the axis of symmetry is \(x=-\frac{b}{2a}\). Looking at the graph (a horizontal parabola), the axis of symmetry is a horizontal line.

Step2: Identify the axis of symmetry from the graph

By observing the graph, the horizontal line that divides the parabola into two mirror - image halves is \(y = 2\).

Answer:

\(y = 2\)