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 $x=3$.

Step2: Calculate midpoint of intercepts

The axis of symmetry is the midpoint of the x-intercepts. Use the midpoint formula:
$\text{Axis of symmetry} = \frac{x_1 + x_2}{2} = \frac{1 + 3}{2}$

Step3: Simplify to find the value

$\frac{1 + 3}{2} = \frac{4}{2} = 2$

Answer:

$x=2$