Question

A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).

Answer 1

Answer:

Correct option: 3

Step-by-step explanation:

The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:

x_vertex = (2 + 8) / 2 = 5

The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.

Correct option: 3