Question

I really don't know this

Answer 1

Consider each of the options.

A is incorrect, as for
`x=2`,
`y=2`, while the equation suggests that
`y=|x|-4 = -2`.

B is incorrect, as for
`x=2`,
`y=2`, but the equation suggests that
`y=|x+4| = 6`.

C is incorrect, as once again,
`x=2`,
`y=2`, but the equation suggests that
`y=|x|+4 = 6`.

D, on the other hand, satisfies all of the given datapoints, so it is the correct answer.