While it says not to state it, I will state which one is which, just for clarification.
Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they are given an additional $5. They receive no raises in their pay. This is linear because the pay is constant, and they aren't receiving any additional money. The equation for this would be y = 10x+5, x is the amount of hours they work.
Non-Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they get are given an additional $5. For every 30 minutes they work after hour 4, they receive a $1 raise. This is non-linear because the pay, after a certain amount of time, would go up, and the graph would soon start going higher after hour 4.
An ordered pair for the linear would be: (5, 55) After working 5 hours, they would have $55.
An ordered pair for the non-linear would be (5, 56) After working for 5 hours, they would have $56.
f(x-2) determines a horizontal translation 2 units to the right. Since (9,-8) is the point for f(x) then f(x-2) will be the point (11,-8) where 9 has moved two units to the right 11.
