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Determine the value of
y, if
x is 9.

y=|x|-6
Answer:

Determine the value of $y$ , if $x$ is $9$ . $\newline$ $y=|x|-6$ $\newline$ Answer:

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Transformations of absolute value functions: translations, reflections, and dilations

Full solution

Q. Determine the value of

y

, if

x

is

9

.

\newline

y=|x|-6

\newline

Answer:

Substitute $x$ into function: Substitute the value of $x$ into the function. $\newline$ We are given the function $y = |x| - 6$ and the value of $x$ as $9$ . We need to substitute $x = 9$ into the function to find the value of $y$ . $\newline$ $y = |9| - 6$
Calculate absolute value: Calculate the absolute value of $x$ . The absolute value of $9$ is $9$ , since $9$ is already a positive number. $y = 9 - 6$
Subtract $6$ from $x$ : Subtract $6$ from the absolute value of $x$ . Now we subtract $6$ from $9$ to find the value of $y$ . $y = 9 - 6$ $y = 3$

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