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heathernelly

  • 3 years ago

Identify the vertex, focus, and directrix of the parabola with the equation x^2 – 6x – 8y + 49 = 0

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  1. Hoa
    • 3 years ago
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    vertex (3,5)

  2. Hoa
    • 3 years ago
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    we have formula to figure out the focus and directrix. temporarily cannot remember. let me check

  3. Hoa
    • 3 years ago
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    yes. focus (3,10)

  4. heathernelly
    • 3 years ago
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    how did you get that?

  5. heathernelly
    • 3 years ago
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    like can you show me step by step please because i have a bunch of other problems that are the same :)

  6. Hoa
    • 3 years ago
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    to get vertex, you isolate y, take y', let y'=0 to get x, y of the vertex

  7. Hoa
    • 3 years ago
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    to get focus, you have formula x^2 =4py, your x is (x-3) your y = y-5---> p =10

  8. Hoa
    • 3 years ago
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    the directrix is y =-p = -10

  9. Hoa
    • 3 years ago
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    I think so. check your answer book. long time , i may not be right.

  10. heathernelly
    • 3 years ago
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    thanks a lot :)

  11. Hoa
    • 3 years ago
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    you 're welcome

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