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Determine the value of
y, if
x is -12 .

y=|x|+4
Answer:

Determine the value of $y$ , if $x$ is $-12$ . $\newline$ $y=|x|+4$ $\newline$ 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

-12

.

\newline

y=|x|+4

\newline

Answer:

Substitute $x$ in function: Substitute the value of $x$ into the function. $\newline$ We are given the function $y = |x| + 4$ and the value of $x$ is $-12$ . We need to substitute $-12$ for $x$ in the function. $\newline$ $y = |-12| + 4$
Evaluate absolute value: Evaluate the absolute value of $x$ . The absolute value of $-12$ is $12$ , because the absolute value of a number is the distance of that number from zero on the number line, regardless of direction. $y = 12 + 4$
Add $4$ to result: Add $4$ to the absolute value of $x$ . Now we add $4$ to the result from the previous step to find the value of $y$ . $y = 12 + 4$ $y = 16$

More problems from Transformations of absolute value functions: translations, reflections, and dilations

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Question

y=|x|

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Question

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Question

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\newline

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\newline

Consider the given system of equations. If

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