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...
The Directrix of a Parabola Whenever we are given a quadratic function such as the one we are given in the equation, we can generate the graph of the given equation in the cartesian plane which forms a parabola. The parabola is a figure in which there ...
Since the directrix is horizontal, use the equation of a parabola that opens left or right. ( ((y-k))^2=4p(x-h)) Find the vertex. ( (7/2,7)) Find the distance from the focus to the vertex. ( p=5/2) Substitute in the known values for the variables into the equation...
解析 Since the directrix is vertical, use the equation of a parabola that opens up or down. Find the vertex. Find the distance from the focus to the vertex. Substitute in the known values for the variables into the equation. Simplify....
Answer to: Find the vertex, focus, and directrix of the parabola and sketch its graph. Use a graphing utility to verify the graph. (x + 1)^2 - 8(y...
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 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 ...
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=5p=5 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(5)(y−0)(x-0)2=4(5)(y-0) 化简。 x2=20yx2=20y
GeoGebra was not so useful for this task. 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...
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. ( (2,-1/2)) Find the distance from the focus to the vertex. ( p=3/2) Substitute in the known values for the variables into the equation( ...