I'm not sure what (h, k) is supposed to represent in this exercise.
"h" is the name of the given function. I see no definition for the symbol "k".
Use your knowledge of horizontal and vertical asymptotes.
Use your knowledge of horizontal and vertical shifts of graphs.
Use your knowledge of what the graph of the reciprocal of x looks like (y=1/x).
Find the x-intercept by solving h(x) = 0.
You could even calculate a few other points, such as h(-3), h(-1), h(0), h(1).
Combine all of this knowledge to sketch the graph ...