Look at my attachment to see the four functions on the graph.
f --> g . . . . . shift the graph down one unit
f --> h . . . . . shift down 2 units, and double the slope
f --> d . . . . . shift up 2 units, and reduce the slope by half
f --> g . . . . . shift the graph down one unit
f --> h . . . . . shift down 2 units, and double the slope
f --> d . . . . . shift up 2 units, and reduce the slope by half
