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gibsonchristian96
10.06.2020 •
Mathematics
A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).
Which statement correctly describes g(x)?
1. The line x = -5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.
2. The line x = -5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.
3. The line x = 5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.
4. The line x = 5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.
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Ответ:
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
Ответ: