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Pepsi [2]
2 years ago
6

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

Mathematics
1 answer:
finlep [7]2 years ago
7 0

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

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a <em>quadratic</em> 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 <em>quadratic</em> function opens up as its <em>leading</em> 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: brainly.com/question/1863222

#SPJ1

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