Answer: Translation of shifted 6 unit left and 9 units down.
Step-by-step explanation: Original given function [tex]y=(x-5)^2+7[/tex].
Translated function [tex]y=(x+1)^2-2[/tex].
We can see [tex]y=(x-5)^2+7[/tex] is being transformed to [tex]y=(x-5+6)^2+7-9.[/tex]
We can see [tex]y=f(x+c)-d[/tex] transformation rule is being applied there.
According to [tex]y=f(x+c)-d[/tex] transformation rule the function f(x) is being shifted c unit left and d units down.
Therefore, [tex]y=(x-5+6)^2+7-9.[/tex] is being shifted 6 unit left and 9 units down.
