Question

Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
graph? Select three options.

A. The value of f(-10) = 82
B. The graph of the function is a parabola.
C. The graph of the function opens down.
D. The graph contains the point (20,-8).
E. The graph contains the point (0, 0).

Answers

  1. There is only one statement that is true: B. The graph of the function is a parabola.

    How to study and interpret the characteristics of quadratic equations

    In this question we have a quadratic equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:
    Choice A:
    If we know that x = – 10, then we evaluated it at the function:
    f(- 10) = (- 10)² – 5 · (- 10) + 12
    f(- 10) = 162
    False
    Choice B:
    By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.
    True
    Choice C:
    The quadratic function opens up as its leading coefficient is greater that 0.
    False
    Choice D:
    If we know that x = 20, then we evaluate it at the function:
    f(20) = 20² – 5 · (20) + 12
    f(20) = 312
    False
    Choice E:
    If we know that x = 0, then we evaluate it at the function:
    f(0) = 0² – 5 · (0) + 12
    f(0) = 12
    There is only one statement that is true: B. The graph of the function is a parabola.
    To learn more on quadratic equations: https://brainly.com/question/1863222
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