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anonymous

  • one year ago

@freckles

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  1. anonymous
    • one year ago
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    Using a directrix of y = -2 and a focus of (1, 6), what quadratic function is created? f(x) = 1/8(x - 1)2 - 2 f(x) = -1/8(x + 1)2 - 2 f(x) = -1/16(x + 1)2 - 2 f(x) = 1/16(x - 1)2 + 2

  2. freckles
    • one year ago
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    first little drawing: |dw:1433741364872:dw| I'm going to put the vertex midway between that horizontal line (Called y=-2) and the focus point (1,6) We will see if you are able to tell with the vertex point is...

  3. freckles
    • one year ago
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    |dw:1433741453855:dw|

  4. freckles
    • one year ago
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    the point I labeled V is the vertex it is midway between the directrix (y=-2 ) and the focus can you tell me the coordinates of the V point O have plotted for you

  5. anonymous
    • one year ago
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    (1, 2)

  6. anonymous
    • one year ago
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    am i right or am i misunderstanding

  7. freckles
    • one year ago
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    that's right

  8. anonymous
    • one year ago
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    okay now what?

  9. freckles
    • one year ago
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    |dw:1433741706545:dw| \[4p(y-k)=(x-h)^2 \\ \text{ you said vertex was } (1,2)=(h,k) \\ 4p(y-2)=(x-1)^2 \] now we need to find p is the distance between the vertex and the focus or also the distance between the vertex and the directrix p can be negative or positive depending on which way it is opened ours is opened up so it will be positive

  10. freckles
    • one year ago
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    |dw:1433741880300:dw| this distance is p

  11. anonymous
    • one year ago
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    so we do \[\frac{ y_2 - y_1 }{ x_2 - x_1 }\] ?

  12. freckles
    • one year ago
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    no

  13. freckles
    • one year ago
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    it is a distance not a slope

  14. anonymous
    • one year ago
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    oh then is it 4?

  15. freckles
    • one year ago
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    yea

  16. anonymous
    • one year ago
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    ok

  17. freckles
    • one year ago
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    \[4p(y-2)=(x-1)^2 \\ 4(4)(y-2)=(x-1)^2 \\ 16(y-2)=(x-1)^2 \\ \] divide both sides by 16 and then add 2 on both sides

  18. anonymous
    • one year ago
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    \[y - 2 = \frac{ (x - 1)^2}{ 16 }\] \[y = \frac{ 2 + (x - 1)^2 }{ 16 }\] like this?

  19. anonymous
    • one year ago
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    oh so the answer is D

  20. freckles
    • one year ago
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    why does 2 have 16 underneath it ?

  21. freckles
    • one year ago
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    you add 2 on both sides after dividing 16 on both sides

  22. anonymous
    • one year ago
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    sorry that was a typo

  23. freckles
    • one year ago
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    \[y=2+\frac{(x-1)^2}{16} \\ y=\frac{1}{16}(x-1)^2+2\]

  24. anonymous
    • one year ago
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    Thanks can you help with a couple more?

  25. anonymous
    • one year ago
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    ill post them in a new thread so you can get more medals ?

  26. freckles
    • one year ago
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    I actually have to leave here I'm sorry

  27. anonymous
    • one year ago
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    okay np thnx for the help anyways

  28. freckles
    • one year ago
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    it's 1 am almost I have to wake up early

  29. anonymous
    • one year ago
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    no don't worry about it your good thanks

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