Y=|x-2|-4 how do i solve this and graph it

Nothing to "solve" here.  Just graph this absolute value function.

Note that if x=2 we get y = -4.  Thus, (2,-4) is the vertex.  Plot this point.

Now, starting from (2, -4), draw a line at a 45 degree angle to the horizontal.

Then draw a corresponding line on the other side of the y-axis.  You're done!

look at the answer below

Step-by-step explanation:

this is xy + 25 = 0 if you wanted it. hope it helps