As the focus nears the directrix of a parabole what happens to the shape of the parabola
2006-08-13 05:28:31 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It flares out, or flattens out. It only becomes a straight line in the limit when the focus reaches the directrix.
Since the perpendicular distance between the focus and directrix equals half the latus rectum, you can nearly visualize the latus rectum "pushing" the parabola outward as the focus approaches the directrix.
2006-08-13 05:57:41 · answer #1 · answered by bpiguy 7 · 0⤊ 1⤋
Write in style (y-ok)² = 4p(x-h) Vertex = (h, ok) concentration = (h+p, ok) Directrix: x = h-p 2y² = -3x y² = -3/2 x (y-0)² = -3/2 (x-0) Vertex = (0, 0) 4p = -3/2 p = -3/8 concentration = (0+(-3/8), 0) = (-3/8, 0) Directrix: x = 0 - (-3/8) x = 3/8
2016-11-24 23:04:45 · answer #2 · answered by Anonymous · 0⤊ 0⤋
It turns into a straight line.
Check out my source for a cool applet I found. It will really help you visual the what is happening.
2006-08-13 05:35:48 · answer #3 · answered by Stanley K 2 · 0⤊ 0⤋
Parabola will become narrower.
2006-08-16 17:10:34 · answer #4 · answered by Michaelsgdec 5 · 0⤊ 0⤋