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

I will assume the equation is supposed to be f(x) = x^2 – 5x + 12 since it is said to be a quadratic equation.

Explanation:

See attached graph.

The value of f(–10) = 82 False

f(-10) = (-10)^2 - 5*(-10) + 12

f(-10) = (100) +50 + 12

f(-10) = 162

The graph of the function is a parabola. True

The graph of the function opens down. False

The graph contains the point (20, –8). False

The graph contains the point (0, 0). False