Answer: (4,-3)
Step-by-step explanation:
When we shift a function g(x) , c units to the right , then the new function is given by :-
[tex]g(x-c)[/tex]
When we compare functions f(x) and f(x-5), we find that f(x-5) is the function which comes after a 5 units rightwards shift in f(x).
Also, The minimum point on the graph of the equation y=f(x) is (−1,−3).
The translation rule to move a point rightwards by d units:-
[tex](x,y)\rightarrow (x+d,y)[/tex]
Using the above translation rule , we have
The minimum point on the graph of the equation [tex]y=f(x+5)[/tex] as:
[tex](-1,-3)\rightarrow (-1+5,-3)=(4,-3)[/tex]
Hence, the minimum point on the graph of the equation [tex]y=f(x+5)[/tex] =(4,-3)
