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



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Hoa
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vertex (3,5)

Hoa
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we have formula to figure out the focus and directrix. temporarily cannot remember. let me check

Hoa
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yes. focus (3,10)

heathernelly
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how did you get that?

heathernelly
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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 :)

Hoa
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to get vertex, you isolate y, take y', let y'=0 to get x, y of the vertex

Hoa
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to get focus, you have formula x^2 =4py, your x is (x3) your y = y5> p =10

Hoa
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the directrix is y =p = 10

Hoa
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I think so. check your answer book. long time , i may not be right.

heathernelly
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thanks a lot :)

Hoa
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you 're welcome