Find the equation of the conic with the given properties.
(a) parabola; vertex at (1,3); directrix x = 7
(b) parabola; directrix y = -2; focus at (7, -12)
(c) ellipse; vertical or horizontal major axis; one vertex at (-5,12); one covertex at (-1,3)
8. A point moves so that its distance from the point (2, 0) is two-thirds its distance
from the line y = 5. Derive the equation (in standard form) of the curve
that is traced by the point, and identify the curve.
- alexLv 71 year agoFavorite Answer
vertex at (h,k)
p = -4
(y-k)^2 = 4p(x-h)
P(x,y) on the parabola, PH=distance to the directrix , F = focus point
PH = PF