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anonymous

  • one year ago

The function f(x) passes through the point (-3, 3). If g(x)=f(x-3)+4, then which one of these points, if any, must lie on the graph of g(x)?

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  1. anonymous
    • one year ago
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    \[x-3=-3\\ x=0\]

  2. anonymous
    • one year ago
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    so if \[f(-3)=3\] then \[g(0)=f(0-3)+4=3+4\]

  3. anonymous
    • one year ago
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    wow thats a lot to process ok so then what

  4. anonymous
    • one year ago
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    add \(3+4\)

  5. anonymous
    • one year ago
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    it does look confusing, but one thing that should not be confusing is that if \[(-3,3)\] is on the graph of \(f\) then that measn \[f(-3)=3\] right?

  6. anonymous
    • one year ago
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    okay so that means it equals 7.. what then

  7. anonymous
    • one year ago
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    lets back up

  8. anonymous
    • one year ago
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    \[g(x)=f(x-3)+4\]

  9. anonymous
    • one year ago
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    you only know what \(f(-3)\) is

  10. anonymous
    • one year ago
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    so the only way to know a value for \(g\) is if the input is \(-3\) which will be the case if \(x=0\) since \[0-3=-3\]

  11. anonymous
    • one year ago
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    if \(x=0\) then \(g(0)=f(0-3)+4=f(-3)+4=7\)

  12. anonymous
    • one year ago
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    that means, on the graph of \(g\) is the point \((0,7)\)

  13. anonymous
    • one year ago
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    okay so how would you do this next one.. i kinda understand. the function f(x) passes through (4,-2). If g(x)=-f(x), which one of these points must lie on graph of g(x)

  14. anonymous
    • one year ago
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    so if \(f(4)=-2\) the \(g(4)=-f(4)=-(-2)=2\)

  15. anonymous
    • one year ago
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    which is a long winded way of saying if \((4,-2)\) is on the graph of \(f\) then \((4,2)\) is on the graph of \(-f\)

  16. anonymous
    • one year ago
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    wow you are a god. okay ill probably have another question soon dont leave meh

  17. anonymous
    • one year ago
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    ok dear i will stay

  18. anonymous
    • one year ago
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    not a god however, just a satellite

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