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 $x=-6$ and $x=1$.

Step2: Calculate midpoint of intercepts

The axis of symmetry is the midpoint of the x-intercepts. Use the midpoint formula:
$\text{Axis of symmetry} = \frac{x_1 + x_2}{2} = \frac{-6 + 1}{2}$

Step3: Simplify to find value

$\frac{-6 + 1}{2} = \frac{-5}{2} = -2.5$

Answer:

$x = -2.5$ (or $x = -\frac{5}{2}$)