SOLUTION: Find the vertex, focus, length of latus rectum,and the equation of directrix of x^2 - 2x - 12y + 25 = 0

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Question 1119529: Find the vertex, focus, length of latus rectum,and the equation of directrix of x^2 - 2x - 12y + 25 = 0
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-2x-12y%2B25=0
-
-12y=-x%5E2%2B2x-25
12y=x%5E2-2x%2B25
12y=x%5E2-2x%2B1-1%2B25
12y=%28x-1%29%5E2%2B24
12y-24=%28x-1%29%5E2
highlight%2812%28y-2%29=%28x-1%29%5E2%29


4p=12--------p=3 
vertex           (1,2)
directrix        y=-1
focus            (1,5)
Latus Rectum      12