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 axis of symmetry is the red vertical line. How do I find the equation of a parabola? In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula,...
Vertex of a Parabola For the purposes of today's discussion, we will be speaking specifically about the vertex of a parabola. A parabola is defined as being a curve in which any point is equidistant from a fixed point called the focus and a fixed straight line called the directrix. ...
Directrix & Focus of a Parabola | Equation & Examples from Chapter 5/ Lesson 1 39K 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. ...
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....
Learn about parabolas. Understand what a parabola is, learn how to find the focus of a parabola, examine the equation of parabolas, and see examples of parabolas. Related to this Question Find the vertex, focus, and directrix of the parabola. Then sketch the pa...
百度试题 结果1 题目Find the Parabola with Vertex (0,-20) and Focus (-3,16) (-3,16) , (0,-20)( (-3,16)(0,-20)) 相关知识点: 试题来源: 解析 The points given cannot be the vertex and focus.Invalid Input 反馈 收藏
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 ...
Step 6 Find the focus. Tap for more steps... Step 6.1 The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down. Step 6.2 Substitute the known values of , , and into the formula and simplify....
The vertex of a parabola is a point at which the parabola makes its sharpest turn. The vertex of f(x) = ax^2 + bx + c is given by (-b/2a, f(-b/2a)). Learn how to find vertex of a parabola from different forms like standard form, vertex form, and inter