Since thedirectrixisvertical, use theequationof aparabolathat opens up or down. (x−h)2=4p(y−k)(x-h)2=4p(y-k) Find thevertex. Tap for more steps... The(h,k)is halfway between theand. Find theyof theusing they=y coordinate of focus+directrix2. Thexwill be the same as ...
Steps to Find the Focus & Directrix of a Parabola Step 1:Identify the given equation and determine orientation of the parabola. Step 2:Find {eq}h, k {/eq}, and {eq}p {/eq} using the equation of the parabola {eq}{(x-h)}^2=4p(y-k) {/eq} or {eq}{(y-k)}^2=4p(x-h)...
The distance from the focus (2, 1) to the directrix x=-4 is 2-(-4)=6, so the distance from the focus to the vertex is 12(6)=3 and the vertex is (-1, 1). Since the focus is to the right of the vertex, p=3. An equation is (y-1)^2=4⋅ 3[x-(-1)], or (y-...
(−5,−5)(-5,-5) 求从焦点到顶点的距离。 点击获取更多步骤... p=2p=2 将变量的已知值代入方程(y−k)2=4p(x−h)(y-k)2=4p(x-h)。 (y+5)2=4(2)(x+5)(y+5)2=4(2)(x+5) 化简。 (y+5)2=8(x+5)(y+5)2=8(x+5)...
-Focus:(−174,52) -Directrix:x=−114 D(−52,72) Find the vertex, focus and directix of the parabola(x−h)2+4a(y−k)=0. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...
from Chapter 5/ Lesson 1 40K The directrix and focus of a parabola determine its shape, size, and direction. There is a formula for finding the directrix and focus. Examples are included. Related to this Question Find the vertex, focus, and directrix of...
Here (x,y) are the coordinates of the vertex and |p| is the focal distance. And The coordinates of the focus: F(p+h,k) and The equation of the directrix: x=−p+h.Answer and Explanation: The given equation of the parabola: x=14(y2+2...
GeoGebra will give us the equation of a parabola, but you need to know the focus and directrix first. This is not so straightforward from observations of a graph. Conclusion Finding the equation of a parabola given certain data points is a worthwhile skill in mathematics. Parabolas ...
Directrix & Focus of a Parabola | Equation & Examples from Chapter 5 / Lesson 1 40K The directrix and focus of a parabola determine its shape, size, and direction. There is a formula for finding the directrix and focus. Examples are included. Related...
View Solution Find the vertex, focus, directrix and length of the latus rectum of the parabolay2−4y−2x−8=0 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...