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Hello Ms. Yang, Thank you for taking the time to answer my question. I am studying for my ACTSs and I bought this workbook with tons of practice problems. It has an answer key, but the problem is it doesn't actually explain the process to solving the question, so I'm having trouble figuring out how to solve this problem. I was hoping you could solve it and explain how you solved it so I can learn from it and how to solve these kinds of problems.

The question is:

Describe the sequence of transformations from the related common function f(x) = cubed-root(x) to g(x) = cubed-root(2x-6)

Thank you for any help you can provide, Reggie

The rules for order of operations tells you that the 2x is executed before the -6.

f(2x) compresses f(x) horizontally by a factor of 2.

f(2x-6) translates f(2x) to the right.

http://www.flickr.com/photos/dwread/10250572103/

Here is a good explanation of transforming functions:

http://www.regentsprep.org/regents/math/algtrig/ATP9/funclesson1.htm

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Comment | Perfect, this will be a huge help for me! You did a really great job explaining it, I understand the question much better now. Thank you! |

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