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anonymous

  • one year ago

Find the equation of the quadratic function with zeros 10 and 12 and vertex at (11, -2). y = 2x2 - 44x + 120 y = 2x2 - 44x - 240 y = 2x2 - 44x + 240 y = -2x2 - 44x + 240 im thinking its either the last one or second the the last one.

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  1. welshfella
    • one year ago
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    vertex form is a(x - h)^2 + k where (h,k) are the coordinates the the vertex

  2. welshfella
    • one year ago
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    and a is a number to be found

  3. anonymous
    • one year ago
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    how do i find it?

  4. welshfella
    • one year ago
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    so here h = 11 and k = -2

  5. welshfella
    • one year ago
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    y = a(x - 11)^2 - 2 plug in one of the zeroes say y = 0 and x = 10 and solve for a

  6. anonymous
    • one year ago
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    0=a(10-11)^2-2 0=-1a a=0

  7. welshfella
    • one year ago
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    your secon ine is wrong

  8. welshfella
    • one year ago
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    (10-11)^2 = -1^2 = 1

  9. anonymous
    • one year ago
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    okay.

  10. welshfella
    • one year ago
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    0 = a - 2 a = 2

  11. welshfella
    • one year ago
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    so now you need to expand y = 2(x - 11)^2 - 2

  12. anonymous
    • one year ago
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    and that is done by..? sorry...i rly dont get this stuff..

  13. welshfella
    • one year ago
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    2(x - 11)^2 - 2 = 2[x^2 -22x + 121] - 2 can you continues

  14. welshfella
    • one year ago
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    multiply each term in the parentheses by 2

  15. anonymous
    • one year ago
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    oh okay i see!

  16. anonymous
    • one year ago
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    so now i expand it

  17. welshfella
    • one year ago
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    yes

  18. anonymous
    • one year ago
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    2(x-11) (x-11)-2

  19. anonymous
    • one year ago
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    @welshfella

  20. welshfella
    • one year ago
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    no you just multiply 2x^2 - 22x + 121 by 2 then take 2 away

  21. anonymous
    • one year ago
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    what? im sorry im confused

  22. welshfella
    • one year ago
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    - ive worked out (x - 11)(x - 11) already

  23. welshfella
    • one year ago
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    (x - 11)(x - 110 = x^2 - 22x + 121

  24. welshfella
    • one year ago
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    * 11) not 110

  25. anonymous
    • one year ago
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    okay.. so i multiply the whole thing by 2?

  26. welshfella
    • one year ago
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    yes -then take 2 away ( the -2 at the end)

  27. anonymous
    • one year ago
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    4x^2-44x+242. now subract 2 from each number?

  28. welshfella
    • one year ago
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    no - just from the 242 you can only subtract like terms

  29. anonymous
    • one year ago
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    4x2-44+240

  30. anonymous
    • one year ago
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    then take away a 2?

  31. welshfella
    • one year ago
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    oh its 2*x2 = 2x^2 not 4x^2

  32. anonymous
    • one year ago
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    okay i was gonna say. lol everything else matches but the 4x lol

  33. welshfella
    • one year ago
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    2x^2 - 44x + 242 - 2 = 2x^2 - 44x + 240

  34. anonymous
    • one year ago
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    got it! so i was close, i had a feeling it be that one or the last one.

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