1. 1st transformation is translation the parent function [tex]y=\log_5x[/tex] 6 units to the right to get the function [tex]y=\log_5(x-6).[/tex]
2. 2nd transformation is reflection the function [tex]y=\log_5(x-6)[/tex] over the x-axis. This transformation gives you the function [tex]y=-\log_5(x-6).[/tex]
3. 3rd transformation is vertical stretch of the function [tex]y=-\log_5(x-6)[/tex] by a factor of 2 to get the function [tex]y=-2\log_5(x-6).[/tex]
Only last two are present in options, then
answer: C and D.
