we know that
the parent function of this problem is

so the transformations are
First
A dilation of the y component with a scale factor of -2
the rule is
(x,y) -----> (x,ay)
a=-2

Second
A translation of 3 units at left and 2 units up
the rule is
(x,y) ------> (x-3,y+2)
therefore

using a graphing tool
see the attached image
please wait a minute
the domain is all real numbers
the range is the interval (-infinite, 2}