Transformation Correct Order

Related Example: • Domain and Range of Tr...
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[@crocre55]

Thanks! The way you explained the order of the translations is so simple and clear.

[@justshan2413]

I noticed a mistake at your question. It should be like this = -\frac{3}{2}\left(\sqrt{4x-12}+6 ight) copy paste this " -\frac{3}{2}\left(\sqrt{4x-12}+6 ight) " on desmos graph plotter. That equation missed a bracket which makes his working completely wrong. His maths will be correct if he had put the brackets at the question before the root and after 6. Without those brackets, the reflection and the stretching of Y-axis will be wrong. Anil Kumar, I hope you acknowledge my comment as people like me might come here in the future for references regarding this. Thank you.

[@TyInskip2]

yes you can add the extra bracket between the root and the the -3/2 and the end of the equation. However, you need to factor the -3/2 out of the +6 in order to change it to -4

[@aerichanmi8920]

Thank you, Sir. I understood the concept but I didn't get the correct order. The way you explain is so clear and understandable.

[@sithulisuraweera5675]

so helpful, thank you :)

[@anilmishrassblintercollege9460]

In books it is written that in case of horizontal change ,order is first translate and then stretch and in case of vertical change first stretch and then translate.what should i do?

[@MathematicsTutor]

Remember Order of operation. is First products (stretch, compression, reflection) then Translation. Hope that helps.

[@manfredcaranci6234]

@@MathematicsTutor"Order of operation" should be: horizontal translation (within parentheses), then horizontal scaling/reflection, then vertical scaling/reflection, then vertical translation.

[@manfredcaranci6234]

Your understanding is correct; see my comment below.

[@MathematicsTutor]

You go with the book. For me that is incorrect. First Multiplication and then translation is the rule. Thanks @@manfredcaranci6234

[@suffolkmaths]

Can you explain why f(4(x-2)) is compression then translation, I know you said it is the order of operations but my question is why?

[@khizarabbas2127]

why didnt you factorize larger equation first? That would get us correct vertical translation

[@brettisaac46]

The horizontal shrink is written 1/4, not 4? Wouldn't 1/4 be considered a stretch?

[@justshan2413]

Watch my comment in this video, there was a mistake in his question. Tho that has nothing to do with the 1/4. F(ax) has a stretch factor of 1/a. I hope this answers your question. Feel free to ask.