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Question
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

Answer
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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Janet Yang

Expertise

I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.

Experience

I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

Publications
Co-author of An Outline of Scientific Writing: For Researchers With English as a Foreign Language

Education/Credentials
I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley.

Past/Present Clients
George White Elementary School. Homework Help program at the Ridgewood Public Library, Ridgewood, NJ. Individual students.

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