What is the Focus of a Parabola? What is a Directrix? A parabola is a 2-dimensional U-shaped curve. It is the graph of a quadratic equation {eq}y = ax^2 + bx + c {/eq}. A parabola can face upwards or downards. The point that is the maximum of ...
Parabola graph: It is established that the axis of a parabola passes through the points determined by its focus and its vertex. If the axis is horizontal both focus and vertex have equal ordinates (y-value). The equation is of the form {eq}(y-k)^2=4p(x-h) {/eq}. ...
the focus of a parabola determination of the focus and directrix of a parabola whose equation is given with numerical coefficients 来自 dx.doi.org 喜欢 0 阅读量: 40 作者: Lawrence DOI: 10.2307/3608021 年份: 2019 收藏 引用 批量引用 报错 分享 ...
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( ...
Given a focus and a directrix of a parabola, then we can determine its equation. If we have the directrix as {eq}x=a {/eq}, then the equation of the parabola is given by {eq}(y-k)^2 = 4p(x-h) {/eq} where {eq}(h,k) {/eq} is the vertex of the p...
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 ...
y − 3)2 = 16(x − 2) is the equation of the parabola. Go through the explanation to understand more.
某抛物线，其焦点为(2,-3)，其准线为x = 6，求标准方程。选B。抛物线基础知识。
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 ...
A parabola is a locus of points equidistant from both 1) a single point, called the focus of the parabola, and 2) a line, called the directrix of the parabola. What is the Focus and Directrix? The red point in the pictures below is the focus of the parabola and the red line is ...