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 $x = -4$ and $x = 1$.

Step2: Calculate axis of symmetry

The axis of symmetry is the average of the x-intercepts.
$\text{Axis of symmetry} = \frac{-4 + 1}{2}$

Step3: Simplify the expression

$\frac{-4 + 1}{2} = \frac{-3}{2} = -1.5$

Answer:

$x = -\frac{3}{2}$ (or $x = -1.5$)