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Math Help - Algebra II: Transforming Linear Functions

  1. #1
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    Algebra II: Transforming Linear Functions

    The Red Cab Taxi Service used to charge $1.00 for the first 1/5 mile and $0.75 for each additional 1/5 mile. The company just raised its rates by a factor of 1.5.

    a.) Write a new price function g(x) for a taxi ride.

    b.) Describe the transformation(s) that have been applied.




    Does anyone know how to write the new function?

    Thanks for any help you can give
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  2. #2
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    Well, I will assume that we plot price on the y axis and distance on the x axis.

    What the question is asking is for you to vertically stretch the function by a factor of 1.5. (That is, every y-value should be multiplied by 1.5).

    So if f(x) is your original price function, then you want g(x) = 1.5*f(x).

    Does that help at all?
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  3. #3
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    Thanks

    Yes, thanks for your help. I appreciate it very much.
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