Investigation of f(x+a)
In this worksheet, we are investigating f(x+a). This is different to the previous example, which was f(x)+a.
To be clear
This worksheet is: f(x+a) is adding "a" to the x value everywhere that it appears in the function.
The last worksheet was: f(x)+a is adding "a" to the end of the function.
Try each function in turn. Be careful with the linear function, it looks like it's moving up and down, but could there be another explanation?
Also, BE CAREFUL! Answer this question.
What happens when a is increased? Which way does the function move?
What happens when a is negative? Which way does the function move?