Question

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answer 1

The statements that are true about the quadratic function f(x) = x^2 - 5x + 12 and its graph are:

The graph of the function is a parabola.
The graph contains the point (0, 0).
The graph does not contain the point (20, -8).
The statement "The value of f(–10) = 82" is false, because:

f(-10) = (-10)^2 - 5(-10) + 12 = 100 + 50 + 12 = 162, not 82.

The statement "The graph of the function opens down" is also false, because:

The coefficient of the quadratic term is positive, so the parabola opens upwards.