From the given graph, a transformation of y=f(x+1)-2 means the following:
• The transformation f(x+1) denotes a ,horizontal shift left by 1 unit.
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• The transformation f(x+1)-2 represents a ,vertical shift down by 2 units.
The point (3,5) will become (3-1,5-2)=(2,3)
The point (-3,3) will become (-3-1,3-2) =(-4,1)
The point (-1,0) will become (-1-1, 0-2) =(-2,-2)
The point (-4,-2) will become (-4-1,-2-2)=(-5,-4)
The last point (2,-5) will become (2-1, -5-2) = (1, -7)
We plot these new points below: