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anonymous

  • one year ago

The function g(x) is a transformation of f(x)=2^x by reflecting it across the x axis, and translating it 3 units to the right and 2 units up. What represents g(x)?

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  1. anonymous
    • one year ago
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    @ganeshie8

  2. anonymous
    • one year ago
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    @dan815

  3. anonymous
    • one year ago
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    @kropot72

  4. anonymous
    • one year ago
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    What have you tried so far?

  5. anonymous
    • one year ago
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    i don't even know where to start! :(

  6. anonymous
    • one year ago
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    Do you know how to reflect it?

  7. anonymous
    • one year ago
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    would that just be the opposite signs?

  8. anonymous
    • one year ago
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    Yes, -2

  9. anonymous
    • one year ago
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    Her it is \( \huge g(x) =\ -2^{\left(x-3\right)}+2\ \) The -2 reflects it and the (x-3) moves it 3 units to the right and the + 2 moves it vertically up 2

  10. anonymous
    • one year ago
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    so then wouldn't it be g(x)=-2^(x+3)-2 since its moving to the right three times?

  11. anonymous
    • one year ago
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    (x+3) would move it to the left and not the right. It works the opposite as you would think. but not with vertical transitions that is why we use +2 for vertical/ to move up

  12. anonymous
    • one year ago
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    oh, okay!

  13. anonymous
    • one year ago
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    thank you so much! :)

  14. anonymous
    • one year ago
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    YW

  15. anonymous
    • one year ago
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    Also, here is it graphed out. https://www.desmos.com/calculator/ewzlnbg6vm

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