Asked by Stefan
Write the equation of the parabola in standard and general form whose vertex is at the origin and directrix of equation y = 3. Find the coordinate of the focus, length of the latus rectum (focal width), the x- and y-intercepts.
Answers
Answered by
oobleck
recall that the parabola
x^2 = 4py
has
vertex at (0,0)
directrix is the line y = -p
so that means our parabola has p = -3, giving us
x^2 = -12y
focus is (0,p) = (0,-3)
latus rectum is 4|p| = 12
x^2 = 4py
has
vertex at (0,0)
directrix is the line y = -p
so that means our parabola has p = -3, giving us
x^2 = -12y
focus is (0,p) = (0,-3)
latus rectum is 4|p| = 12
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.