(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In my A2 maths class, we were doing revision on transformations of graphs, as in:

2. Relevant equations

with a graph f(x)

af(x) is a stretch scale factor a in the y-direction

f(bx) is a stretch scale factor 1/b in the x-direction

f(x)+c is a translation of c in the y- direction

f(x+d) is a translation of d in the negative x- direction

anyway, back to 1. The problem statement, all variables and given/known data

When a question came up where we had to do multiple transformations, and the order in which you do them mattered, most of my class got the question wrong, and when we asked the teachers how to do it, the 3 of them consulted, and they essentially said "try out different orders until you get the right answer", which seems awfully crude and time consuming to me, so I am wondering if there is a specific order in which you can do it to get the right answer. If not, why not? (please answer within the next week, as my exam is soon!)

3. The attempt at a solution

My hunch is you do:

stretches in y,

stretches in x,

translations in y,

translations in x, but that is only a hunch and I don't actually know, so please help!

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# What order do you transform graphs in?

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