<em>(-4)³ = (-4)(-4)(-4) = 16(-4) = - 64</em>
<em>(-7)² = (-7)(-7) = 49</em>
<em>(-)×(-) = +</em>
<em>(-)×(+) = -</em>
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
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Answer:
The square root function
sqrt(144) or √144 produces a single positive value, 12.
However if you have an equation
x² = 144, then you have two possible values for x, 12 and -12.
Two ways to look at it.
x² - 144 = 0
Difference of two squares
(x+12)(x-12) = 0
x = -12, 12
x² = 144
x = ±√144
x = ±12
x = -12, 12
Answer:
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Answer: amplitude is 5 and Period is pi/2
Step-by-step explanation:
yes ♀️