Given
y = |x| + 8
We have to find the value of y given x = -4.
So,
we simply plug in x = -4 into the equation:
[tex]\begin{gathered} y=|x|+8 \\ y=|-4|+8 \\ y=4+8 \\ y=12 \end{gathered}[/tex]The value of y is 12.
Note: when we have the absolute value, such as |x|, no matter what number we put inside this, we get the positive. So,
|6| = 6
|-6| = 6