Question

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

Answer 1

vertex (3,5)

Answer 2

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

Answer 3

yes. focus (3,10)

Answer 4

how did you get that?

Answer 5

like can you show me step by step please because i have a bunch of other problems that are the same :)

Answer 6

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

Answer 7

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

Answer 8

the directrix is y =-p = -10

Answer 9

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

Answer 10

thanks a lot :)

Answer 11

you 're welcome