Question

find the axis of symmetry.
x =
(there is a graph of a parabola on a coordinate grid with x - axis labeled from 2 to 9, and the parabola intersects the x - axis at 4 and 8.)

Explanation:

Step1: Identify x-intercepts

The parabola intersects the x - axis at \( x = 4 \) and \( x = 8 \).

Step2: Use axis of symmetry formula

For a parabola, the axis of symmetry is the mid - point of its x - intercepts. The formula for the mid - point of two points \( x_1 \) and \( x_2 \) is \( x=\frac{x_1 + x_2}{2} \). Substituting \( x_1 = 4 \) and \( x_2 = 8 \), we get \( x=\frac{4 + 8}{2}=\frac{12}{2}=6 \).

Answer:

\( 6 \)