Question

using the graph, determine the equation of the axis of symmetry.

Explanation:

Step1: Identify x-intercepts

The parabola crosses the x-axis at $x=-1$ and $x=5$.

Step2: Calculate midpoint of intercepts

The axis of symmetry is the midpoint of the x-intercepts, calculated as $\frac{x_1 + x_2}{2}$.
$\frac{-1 + 5}{2} = \frac{4}{2} = 2$

Answer:

$x=2$