Step 3:Find the focus and directrix of the parabola using the equations. Equations and Definitions for Finding the Focus & Directrix of a Parabola Parabola:A parabola is a curved shape where any point is at an equal distance from a fixed point, and a fixed straight line. The fixed point ...
Find the vertex, focus, and directrix of the parabola and sketch its graph. 3{x^2} + 8y = 0 Find the vertex, focus, and directrix of the parabola, and sketch its graph. 4x - y^2 = 0 Find the vertex, focus, and directrix of the parabola, ...
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...
(9,0)(9,0)y=−4y=-4 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...
Answer to: Find the vertex, focus, and directrix of the parabola. Also, graph the parabola. y^2 + x + y = 0 By signing up, you'll get thousands of...
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...
Find the coordinates of the vertex and focus, then find the equation of the directrix for the given equation.x − 4x − 2y = 0Vertex :Focus :Directrix : 相关知识点: 试题来源: 解析 Vertex : (2,−2); Focus : (2,−PD=12); Directrix : y = −PD=12Vertex : (2,−2); ...
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...
Find the standard algebraic form of the equation of an ellipse with one focus at(4; 0),directrix x = 9 and eccentricity 2/3.Is there another ellipse with theseproperties?If so,¯nd its equation.Sketch the ellipse(s).Problem 3The Earth orbits the Sun elliptically with the Sun as one...