- #1
kougou
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Homework Statement
Hi all. I am having trouble to understand the combination of transformation on a function:h(x)= a*f(b(x-c))+d
Homework Equations
The problem I am struggling with is the order of transformation; I do see that:
f(x-c) is translation in the right since every event happen before c in time;
f(bx) is the sketch if b is small <1, because it represents the same overall shape except that it has been skcetched. What I am having trouble with is the order of transformation.
Say we have a function: f(-(x+4))
I do not understand why the transformation in above form (ie, combination of transformation), we should apply reflection first, then translation. Please don't tell me because it will give me the correct graph because I already know it will; what I am interested is the underlying principle.
Teacher told us we should apply "-", then translate "+4" to the left.
I see nothing wrong in applying translation first, then reflection; but obviously that will give me a wrong graph.
Thank you