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. Relat...
Parabola: Each point on the parabola is equidistant from a point (focus) and a line (directrix). The directrix is perpendicular to the parabola's axis. A horizontal axis parabola can be written as {eq}(y-k)^2=4p(x-h) {/eq}, where (h,k) is the v...
Step 1:Identify the given equation and determine orientation of the parabola. Step 2:Findh,k, andpusing the equation of the parabola(x−h)2=4p(y−k)or(y−k)2=4p(x−h) Step 3:Find the focus and directrix of the parabola using the equations. ...
To find the vertex, focus, and directrix of the parabola given by the equation 4y2+12x−20y+67=0, we will follow these steps: Step 1: Rearranging the equationStart by rearranging the equation to isolate the terms involving y on one side. 4y2−20y+12x+67=0 Step 2: Grouping the ...
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...
Since the directrix is vertical, use the equation of a parabola that opens up or down. ( ((x-h))^2=4p(y-k)) Find the vertex. ( (3,3)) Find the distance from the focus to the vertex. ( p=2) Substitute in the known values for the variables into the equation( ((x-h...
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 ...
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-...
Find the vertex, axis, focus, directrix, tangent at the vertex, and length of the latus rectum of the parabola 2y2+3y−4x−3=0. View Solution Find the length of latus rectum of the parabola y2=−10x View Solution The length of the latus rectum of the parabola x2=−28y is ...
(x−h)2=4p(y−k)(x-h)2=4p(y-k)求顶点。 点击获取更多步骤... (0,0)(0,0)求从焦点到顶点的距离。 点击获取更多步骤... p=4p=4将变量的已知值代入方程 (x−h)2=4p(y−k)(x-h)2=4p(y-k)。 (x−0)2=4(4)(y−0)(x-0)2=4(4)(y-0)化简...