This is also the case where y=f(2x) where it dilates by a factor of 1/2. Why are they seemingly the opposite of what intuition tells me?
Edit:
Thanks guys 🙂 got it.
In: 0
Because you’re thinking too directly. The important idea is what change in x is necessary to give the same output.
Consider f(x) when x = 0, then the outcome is f(0)
For f(x+2), x has to be -2 for the outcome to be f(0). If x = 2, then f(x+2) = f(4) not f(0).
Should it move left or right?
The same reasoning for stretching and shrinking. Consider f(x) when x = 2 which gives f(2). For f(2x) what does x have to be to get f(2)? Does x have to be 1/2 or 4?
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