By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.
<h3>How to evaluate a quadratic equation with an absolute value</h3>
Herein we must apply the definition of <em>absolute</em> value prior to evaluating the quadratic equation defined in the statement. From algebra we know that absolute values are defined as:
|x| = x, when x ≥ 0 or - x, when x < 0. (1)
Then, we apply (1) on the quadratic equation:
F(|x|) = |x|² - 2 · |x| + 4
As x < 0, by <em>absolute value</em> properties:
F(|x|) = x² + 2 · x + 4
F(|- 4|) = (- 4)² + 2 · (- 4) + 4
F(|- 4|) = 16 - 8 + 4
F(|- 4|) = 12
By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.
To learn more on absolute values: brainly.com/question/1301718
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Answer:
HUH
Step-by-step explanation:
the answer is b i did the math it checks out
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