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anonymous

  • one year ago

Rewrite f(x) = –2(x − 3)^2 + 2 from vertex form to standard form.

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  1. anonymous
    • one year ago
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    @GabbyLovesYou @Loser66 @Nnesha @welshfella

  2. welshfella
    • one year ago
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    expand the (x - 3)^2 first

  3. welshfella
    • one year ago
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    (x - 3)(x - 3) = ?

  4. anonymous
    • one year ago
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    x^2 - x^3 - x^3 + 9

  5. welshfella
    • one year ago
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    well you have the first and last terms correct but 3 times x is not x-cubed

  6. welshfella
    • one year ago
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    x * x * x = x^3 3 * x = 3x

  7. anonymous
    • one year ago
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    Ah, x^2 - 3x - 3x + 9

  8. welshfella
    • one year ago
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    right now you can add the 2 middle terms to give x^2 - 6x + 9

  9. anonymous
    • one year ago
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    Yes

  10. anonymous
    • one year ago
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    Multiply by -2?

  11. welshfella
    • one year ago
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    so we have -2(x^2 - 6x + 9) + 2 now distribute the -2 over the parentheses - which basically means you multiply (x^2 - 6x + 9) by -2

  12. anonymous
    • one year ago
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    -2x^2 +12x - 18

  13. welshfella
    • one year ago
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    right - but dont forget the + 2

  14. anonymous
    • one year ago
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    Ah, -2x^2 +12x - 20

  15. welshfella
    • one year ago
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    not quite - 18 + 2 = -16

  16. anonymous
    • one year ago
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    Oh, right, didn't see the "-".

  17. anonymous
    • one year ago
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    Thanks a lot!

  18. welshfella
    • one year ago
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    yw

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