Question

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

Answer 1

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]}