Question

question 23 (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 = -3 c) x = 2 d) x = 5

Explanation:

Step1: Recall axis - of - symmetry property

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

Step2: Calculate the x - coordinate of the mid - point

The formula for the x - coordinate of the mid - point between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $x=\frac{x_1 + x_2}{2}$. Here, $x_1=-3$ and $x_2 = 7$. So, $x=\frac{-3 + 7}{2}=\frac{4}{2}=2$.

Answer:

C. $x = 2$