Question

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

Explanation:

Step1: Find the x - intercepts

From the graph, the x - intercepts are \(x = 0\) and \(x = 4\) (assuming the grid is 1 - unit per square).

Step2: Use the axis of symmetry formula

The formula for the axis of symmetry of a parabola \(y = ax^{2}+bx + c\) (for a parabola with x - intercepts \(x_1\) and \(x_2\)) is \(x=\frac{x_1 + x_2}{2}\). Substituting \(x_1 = 0\) and \(x_2=4\), we get \(x=\frac{0 + 4}{2}\).

Step3: Calculate the value

\(x = 2\)

Answer:

\(x = 2\)