Question

what is the equation for the axis of symmetry?
options: y = 8; x = -1; none of these; x = -3

Explanation:

Step1: Identify x-intercepts

The parabola crosses the x-axis at $x=-3$ and $x=1$.

Step2: Calculate midpoint of intercepts

The axis of symmetry is the midpoint of the x-intercepts, calculated as $\frac{-3 + 1}{2}$.

Step3: Simplify to find axis

$\frac{-3 + 1}{2} = \frac{-2}{2} = -1$. The axis of symmetry is a vertical line $x = -1$.

Answer:

x = -1