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# Compound transformations watch

1. Hello! New here, was just wondering if anyone could help with something that's been bothering me for a while.

Currently studying a2 maths, and in particular, at this moment, 'compound transformations'

My question is, how do you know which order to do the transformations? I will elaborate.. Sometimes it matters which order you carry out the transformations. I know there will be times when order doesn't matter, for instance, when starting with the graph of y=x^2, the order of transformations will not matter in order to get to y=3(x-2) as one part effects the y axis, and the other the x axis, and the result will be the same. But, when two parts effect the same axis, for instance y=(2x+10), how would you decide which order to do the transformations?

2. (Original post by Fudgins)
Hello! New here, was just wondering if anyone could help with something that's been bothering me for a while.

Currently studying a2 maths, and in particular, at this moment, 'compound transformations'

My question is, how do you know which order to do the transformations? I will elaborate.. Sometimes it matters which order you carry out the transformations. I know there will be times when order doesn't matter, for instance, when starting with the graph of y=x^2, the order of transformations will not matter in order to get to y=3(x-2) as one part effects the y axis, and the other the x axis, and the result will be the same. But, when two parts effect the same axis, for instance y=(2x+10), how would you decide which order to do the transformations?

If you want a general rule to remember. If there are 2 transformations - stretch parallel to y axis and and translation parallel to the y axis then you first do the stretch, and then you do the translation. If it is translation parallel to x axis and a stretch parallel to the x axis then you do the translation and then the stretch. If you have 2 transformations - 1 parallel to y axis and the other parallel to the x axis then it doesn't matter which order.
3. https://youtu.be/TTTqGY3J4oI
Here is a link to a video explaining this.
4. If you think about it though. If you have say y=4x^2 (same as y=(2x)^2and then it goes to
y=(2x-10)^2. This is the same as
y=(2(x-5))^2
So to get from y=4x^2 to y=(2x-10)^2
You translate the graph through vector 5i.
I think what I've said here relates to the question.

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Updated: October 28, 2015
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