Question

question 16 (1 point) saved 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 = -3 b) x = 5 c) x = 0 d) x = 2

Explanation:

Step1: Recall axis - of - symmetry property

For a parabola, if two points \((x_1,y_1)\) and \((x_2,y_2)\) have the same \(y\) - value, the axis of symmetry is the vertical line \(x=\frac{x_1 + x_2}{2}\).

Step2: Identify \(x_1\) and \(x_2\) values

Here \(x_1=-3\) and \(x_2 = 7\).

Step3: Calculate the axis - of - symmetry

Substitute \(x_1\) and \(x_2\) into the formula \(x=\frac{x_1 + x_2}{2}=\frac{-3 + 7}{2}=\frac{4}{2}=2\).

Answer:

D. \(x = 2\)