# changing coordinate system

I'm currently trying to transform a system by scaling it on x and y axis and have some uncertainty. I have the general concept that scaling works as such:

My original box has corners at (0, 0) and (3, 2) and I'm asked to scale the x axis by 3 and the y axis by -2.

Is this what the correct solution would look like (with corners at (0,2) and (6,-2))?