Question

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

Explanation:

Step1: Identify x-intercepts

The parabola crosses the x-axis at $x=0$ and $x=5$.

Step2: Calculate midpoint of intercepts

The axis of symmetry is the midpoint of the x-intercepts. Use the midpoint formula:
$\text{Axis of symmetry} = \frac{x_1 + x_2}{2} = \frac{0 + 5}{2}$

Step3: Simplify to find value

$\frac{0 + 5}{2} = 2.5$
The axis of symmetry is a vertical line with equation $x = \text{midpoint value}$.

Answer:

$x=2.5$