Question

question 9 (1 point) the points (-3, 5) and (7, 5) are the same distance from the vertex of their parabola. what is the equation for the axis of symmetry of the parabola? a) x = 0 b) x = 5 c) x = -3 d) x = 2

Explanation:

Step1: Recall axis - of - symmetry property

The axis of symmetry of a parabola is a vertical line that passes through the mid - point of two points with the same y - coordinate.

Step2: Use mid - point formula for x - coordinates

The mid - point formula for two points $(x_1,y)$ and $(x_2,y)$ is $x=\frac{x_1 + x_2}{2}$. Here, $x_1=-3$ and $x_2 = 7$.

Step3: Calculate the x - value of the axis of symmetry

$x=\frac{-3 + 7}{2}=\frac{4}{2}=2$.

Answer:

D. x = 2