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burhan101

  • 3 years ago

use transformations to solve ;

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  1. burhan101
    • 3 years ago
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    \[\large y=-2f (\frac{ 1 }{ 2 } x) +3\]

  2. burhan101
    • 3 years ago
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  3. burhan101
    • 3 years ago
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    can someone explain ?

  4. AlexUL
    • 3 years ago
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    What I think : \[g(x)=-2f(\frac{ 1 }{ 2 }x) +3\] If you evaluate for x=4, \[g(4)=-2f(2)+3\] by looking at the graph, you see that f(2) = 0 thus, \[g(4)=3\]

  5. burhan101
    • 3 years ago
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    hmm okay

  6. AlexUL
    • 3 years ago
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    I'm not sure what they mean by "use transformations"

  7. burhan101
    • 3 years ago
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    they mean like apply all the changes to the graph looking at the formula above like the (-) means it's reflect on the x axis, but i dont understand the rest

  8. AlexUL
    • 3 years ago
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    You'd have to draw a second graph of \[y_{g}=g(x)\], using the formula and the graph \[y_{f}=(\frac{ 1 }{ 2 }x)\]

  9. AlexUL
    • 3 years ago
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    \[y _{g}=-2y _{f}+3\] \[y _{f}\] is found by looking at the first graph, at a value on the x-axis that is x/2

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