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help_people

  • one year ago

For f(x) = x2 and g(x) = (x − 4)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? Left 4 units Up 4 units Right 4 units Down 4 units

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  1. anonymous
    • one year ago
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    for a function \[f(x)\] We have the following ways of how the graph moves \[f(x+a)\] Moves the graph LEFT by a units \[f(x-a)\] moves the graph RIGHT by a units \[f(x)+a\] moves the graph UP by a units \[f(x)-a\] moves the graph DOWN by a units, so what do you think?

  2. Jhannybean
    • one year ago
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    If you think about it as a parabolic function in vertex form, \(y=a(x-h)^2+k\) You can determine that your vertex is at \((4~,~0)\) whereas the vertex of the parent function is \((0~,~0)\). Comparing the two vertexes, you can tell which way your graph has moved, what is the change from \(4\rightarrow 0=~?\)

  3. help_people
    • one year ago
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    so a ? @Jhannybean and @Nishant_Garg srry my mom called me :/

  4. help_people
    • one year ago
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    srrry i was inactive :)

  5. Jhannybean
    • one year ago
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    a would be \(g(x) =(x+4)^2\)

  6. help_people
    • one year ago
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    ? thats now what nishant said

  7. Jhannybean
    • one year ago
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    No, @Nishant_Garg gave you the different variations of HOW the graph would move in certain situations.

  8. Jhannybean
    • one year ago
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    You can also compare the vertices.. and notice how theyve changed.

  9. Jhannybean
    • one year ago
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    i mean vertexes*

  10. Jhannybean
    • one year ago
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    |dw:1442689805859:dw|

  11. Jhannybean
    • one year ago
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    Which way does it LOOK like it's moving?...

  12. help_people
    • one year ago
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    to the right

  13. help_people
    • one year ago
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    4 times

  14. help_people
    • one year ago
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    @Jhannybean so c?

  15. Jhannybean
    • one year ago
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    Yep

  16. help_people
    • one year ago
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    ok great thanks :)

  17. help_people
    • one year ago
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    can i tag you if i have any more questions?

  18. mathmate
    • one year ago
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    What @Nishant_Garg said is still true, we only have to read with care. This is what he wrote, with line spacings rearranged. for a function f(x) We have the following ways of how the graph moves f(x+a) Moves the graph LEFT by a units f(x−a) moves the graph RIGHT by a units f(x)+a moves the graph UP by a units f(x)−a moves the graph DOWN by a units, so what do you think?

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