Answer:
D.y=|x+2|-4
Step-by-step explanation:
The absolute value or modulus |x| of a real number x is the non-negative value of x, without taking into accoun its sign.
Knowing this, you should solve the operation that is in this format |x| of modulus, and the result would be positive without regard of its sign.
On equation D, if we replace the given value of x in the first row, -4, the result of y is -2. And it is equal to the value of y on the table.
If you repeat the math for the following data on the table, you will check that for the given number of x on the table, the value of y corresponding is obtained by the equation D.
Let's check equation D. for the first row of the table:
y=|x+2|-4
y=|-4+2|-4
y=|-2|-4
Note that for the following step the -2 that is in the modulus is taken as positive number to continue the operation:
y=2-4
<em>y=-2</em>
Let's check equation D. for the second row of the table:
y=|x+2|-4
y=|-3+2|-4
y=|-1|-4
y=1-4
<em>y=-3</em>
