How do you graph and solve #-3|y-3|=9#?

1 Answer

Answer:

There is no solution

Explanation:

We have #-3abs(y-3)=9#

Let's divide through by #-3#:

#abs(y-3)=-3#

and now we have a problem because the value of coming from an absolute value function is always positive and so there is no way for it to equal #-3#. Therefore, there is no solution.

The graph looks like this:

graph{(y+3abs(x-3))(y-9)=0 [-28.73, 36.22, -11, 21.47]}