anonymous
  • anonymous
Rewrite f(x) = –2(x − 3)^2 + 2 from vertex form to standard form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@GabbyLovesYou @Loser66 @Nnesha @welshfella
welshfella
  • welshfella
expand the (x - 3)^2 first
welshfella
  • welshfella
(x - 3)(x - 3) = ?

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anonymous
  • anonymous
x^2 - x^3 - x^3 + 9
welshfella
  • welshfella
well you have the first and last terms correct but 3 times x is not x-cubed
welshfella
  • welshfella
x * x * x = x^3 3 * x = 3x
anonymous
  • anonymous
Ah, x^2 - 3x - 3x + 9
welshfella
  • welshfella
right now you can add the 2 middle terms to give x^2 - 6x + 9
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Multiply by -2?
welshfella
  • welshfella
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
anonymous
  • anonymous
-2x^2 +12x - 18
welshfella
  • welshfella
right - but dont forget the + 2
anonymous
  • anonymous
Ah, -2x^2 +12x - 20
welshfella
  • welshfella
not quite - 18 + 2 = -16
anonymous
  • anonymous
Oh, right, didn't see the "-".
anonymous
  • anonymous
Thanks a lot!
welshfella
  • welshfella
yw

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