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Determine the value of
y, if
x is -4 .

y=|x|-5
Answer:

Determine the value of $y$ , if $x$ is $-4$ . $\newline$ $y=|x|-5$ $\newline$ 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

-4

.

\newline

y=|x|-5

\newline

Answer:

Substitute $x$ in function: Substitute the value of $x$ into the function. $\newline$ We are given the function $y = |x| - 5$ and the value of $x$ is $-4$ . We need to substitute $-4$ for $x$ in the function. $\newline$ $y = |-4| - 5$
Evaluate absolute value: Evaluate the absolute value of $x$ . The absolute value of $-4$ is $4$ because absolute value measures the distance from zero without considering direction. $y = 4 - 5$
Perform subtraction: Perform the subtraction. $\newline$ Now we subtract $5$ from $4$ to find the value of $y$ . $\newline$ $y = 4 - 5$ $\newline$ $y = -1$

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\newline

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