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Determine the value of
y, if
x is -1 .

y=|x|-12
Answer:

Determine the value of $y$ , if $x$ is $-1$ . $\newline$ $y=|x|-12$ $\newline$ 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

-1

.

\newline

y=|x|-12

\newline

Answer:

Substitute $x$ into function: Substitute the value of $x$ into the function. $\newline$ We are given the function $y = |x| - 12$ and we need to find the value of $y$ when $x$ is $-1$ . $\newline$ Substitute $x = -1$ into the function. $\newline$ $y = |(-1)| - 12$
Evaluate absolute value: Evaluate the absolute value of $x$ . The absolute value of $-1$ is $1$ , because the absolute value of a number is the distance of that number from $0$ on the number line, regardless of direction. $y = |(-1)| - 12$ $y = 1 - 12$
Perform subtraction: Perform the subtraction. $\newline$ Now we subtract $12$ from $1$ to find the value of $y$ . $\newline$ $y = 1 - 12$ $\newline$ $y = -11$

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