Math

The graph of f(x)=sin(x) is transformed into a new function, g(x), by stretching it vertically by a factor of 4 and shifting it 3 units to the right.

What is the equation of the new function g(x)?

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  1. if you stretch it out by a factor of 4, it means that the x values change only 1/4 as fast.
    sin(1/4 x) means you now have to have 4 times the value of x to get to the same place.
    Similarly, you have to subtract 3 from the new x to get the original y.
    So,
    g(x) = sin(1/4 (x-3))

    you can see the results here:

    https://www.wolframalpha.com/input/?i=plot+y%3Dsinx,+y%3Dsin(1%2F4+(x-3))

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    oobleck
  2. But y = sinx stretched vertically by a factor of 4 and shifted 3 units to the right would be
    y = 4sin(x-3)

    see:

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    Reiny
  3. see:
    https://www.wolframalpha.com/input/?i=plot+y%3Dsinx,+y%3D+4sin(x-3)

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    Reiny

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