Answer: [tex]f(x,y)=(x-2,y-5)[/tex]
Step-by-step explanation:
The function that translate a figure h units leftwards is given by :-
[tex]f(x,y)=(x-h,y)[/tex]
The function that translate a figure k units downwards is given by :-
[tex]f(x,y)=(x,y-k)[/tex]
Then, the function f(x, y), which will translate all points in the plane 2 units to the left and 5 units downward will be :-
[tex]f(x,y)=(x-2,y-5)[/tex]
