not sure what that is, but it is the graph of
log_3(x)
reflected through the y-axis
shifted right by 3
stretched vertically by a factor of 2
shifted down by 2
Note that
log_3(-3x+9) = log_3(3) + log_3(3-x) = 1 + log_3(3-x)
This cancels the scale factor on the x-axis by shifting the graph up another unit in the y direction.
See
http://www.wolframalpha.com/input/?i=plot+y%3D2+log_3(-3x+%2B9)-2,+y%3Dlog_3(x),+y%3D1,+y%3D2+for+-3+%3Cx+%3C+6
Mapping Notation for
y=2log _3(-3x +9)-2
log_3 mean log base 3
1 answer