Question

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

Explanation:

Step1: Identify the vertex

For a parabola in the form \(y = ax^{2}+bx + c\), the axis - of - symmetry is a vertical line passing through the vertex. From the graph, the vertex of the parabola has an \(x\) - coordinate of \(x = 2.5\).

Step2: Write the equation of the axis of symmetry

The equation of a vertical line is of the form \(x = k\), where \(k\) is a constant. Since the axis of symmetry passes through \(x = 2.5\), the equation of the axis of symmetry is \(x=2.5\).

Answer:

\(x = 2.5\)