Answer:
f(x) = sin(x) + 4 Let me know if you don't see why.
Step-by-step explanation:
As much as I hate it I think it might be best to check each one.
sin(x) has a point at (0,0) so that's not right.
sin(x)+4 has (0,4) as a point and a minimum at (3*pi/2+2*pi*n,3) where n is some integer. if we have n = 0 then it becomes (3*pi/2, 3) So that looks like our answer.
cos(x) + 3 has a point at (0,4) then minimums at (pi+2*pi*n, 2) the y coordinate is wrong so this won't work
-3sin(x) has a point at (0,0) so that's wrong
4cos(x) has a point at (0,4) then minimums at (pi+2*pi*n, -4) which again has the wrong y value so this is wrong.
Let me know if you don't understand how I got the results I did, I would be happy to explain.
