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Math Help - Exp Function Quick Question

  1. #1
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    Exp Function Quick Question

    y=10(0.5)^(t/19.74)

    My question: is this a horizontal stretch by a factor of 19.74?

    y=10(0.5)^(8t)

    My question: is this a horizontal compression by a factor of 1/8?

    y=10(0.5)^x + 1

    My question: is this a vertical translation of up 1 unit?

    y=10(0.5)^(x-1)

    My question: is this a horizontal translation one unit to the right?


    Thank you
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  2. #2
    MHF Contributor

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    Quote Originally Posted by skeske1234 View Post
    y=10(0.5)^(t/19.74)

    My question: is this a horizontal stretch by a factor of 19.74?

    y=10(0.5)^(8t)

    My question: is this a horizontal compression by a factor of 1/8?

    y=10(0.5)^x + 1

    My question: is this a vertical translation of up 1 unit?

    y=10(0.5)^(x-1)

    My question: is this a horizontal translation one unit to the right?


    Thank you
    Saying "horizontal/vertical stretch/compression" or "horizontal/vertical translation" makes no sense without saying what it is a stretch/compression or translation of. I assume you mean y= 0.5^t.

    If t= 0, what is 0.5^t? If t= 1, what is 0.5^t. What is 0.5^1- 0.5^0?

    If x= 0, what is 10(0.5^{t/19.54})? If x= 1, what is 10(0.5^{5/19.54})? What is 10(0.5^{1/19.54}- 10(0.5^{0/19.54}?

    Now is that stretched or compressed? By how much?
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  3. #3
    Senior Member
    Joined
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    ? I don't understand..

    what do you mean?

    are my answers correct or not
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