and (y−k)2=4a(x−h) where the vertex is A(h,k) and the focus is S(a−h,0) Equation of directrix: x+h=−a Answer and Explanation: Given equation of the parabola: 2y2+4x−2x+1=0 Express the equation in standard form. $$\begin{align} 2y...
Find the vertex, focus and directix and latus rectum of the parabola. (y+3)2=2(x+2) View Solution Find the vertex , focus, axis, directrix and latus rectum of the following parabola:x2+y=6x−14 View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions...
To solve the problem of finding the vertex, focus, directrix, axis, and length of the latus rectum of the parabola given by the equation <sp
where(h,k)is the vertex of the parabola. Ifp>0, the focus is(h,k+p)and the directrix isy=k−p. Ifp<0, the focus is(h,k−p)and the directrix isy=k+p. We want to write the given parabola in vertex form so that we can identify all of the features ...
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,−); Directrix : y = −Vertex : (2,−2); Focus ...
Given y2=5(x+2y) . The objective is to find: a. VertexView the full answer Step 2 Unlock Answer UnlockPrevious question Next question Transcribed image text: Find the center, focus, vertox, laght of major and minor axis, asymtotes, ...
A parabola is given by the equation y2 = -24x.find the directrix and focus of the parabolaFollow • 2 Add comment 1 Expert Answer Best Newest Oldest Arthur D. answered • 05/09/17 Tutor 5.0 (252) Mathematics Tutor With a Master's Degree In Mathematics About this tutor › ...
（3）对于焦点(focus)为(1, 2)，准线(directrix)为y = 6的抛物线，其函数表达式是？考察：抛物线基本知识以及函数的平移 对于抛物线x^2 = 2px，其焦点为(0, p/2)准线是y = -p/2，焦距是p/2 那么对于抛物线x^2 = -2px，其焦点为(0, -p/2)准线是y = p/2，焦距仍是p/2 抛物线的...
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. ...
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 QuestionHow to find the vertex of a parabola How do you find the vertex of a parabola? How to find the vertex of the parabola ...