Inverse of f(x) (x +7) sq divided by 6

They are really looking for a pattern here:

0rigin = 0 what I get from whatb you said is:
i = 1st segment - straight line - positive slope
J = 2nd segment - horizontal line - no slope  (parallel to x-axis)
K = 3rd segment - curve, convex - decreasing then increasing slope
L - 4th segment - horizontal line - no slope (parallel to x-axis)
M - 5th segment - straight line - negative slope 
N- 6th segment - horizontal line - no slope (parallel to the x-axis)
O - 7th Segment - curve, concave, increasing, then decreasing slope 
the end of O touches the x- axis. 

I would expect from the pattern above that the next segment, P, to be a straight line , negative in slope, sloping down (opposite to line I).