Question

How do I figure out the graph for f(x + 1) - 2?

Answer 1

@phi

Answer 2

I assume they show f(x)
if you subtract -2 from f(x), the new curve is lower by 2 steps
the hard part is f(x+1)
but I remember this by saying f(0) is the old graph
and f(x+1) is f(0) when x is -1
(because when x is -1, we get -1+1 = 0)
so f(0) in the old graph "moves" to -1 which is 1 to the left

Or if you can remember it, f(x+1) moves sideways in the opposite direction of +1
i.e. it moves left 1 step

Answer 3

so f(x+1)-2 is f(x) shifted down 2 and to the left 1

Answer 4

Okay got it!