Learn to find the equation of a parabola given its focus and directrix. Understand the standard equation of a parabola and learn to solve related examples. Updated: 11/21/2023 Table of Contents Focus and Directrix of a Parabola What Is the Equation of a Parabola? How to Find Equation of...
Learn to find the equation of a parabola with examples. Understand the equation of a parabola in standard form and the properties and applications...
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 to this QuestionFind the vertex, focus, and the equation of the directrix for the parabo...
The distance from the focus (2, 1) to the directrix x=-4 is 2-(-4)=6, so the distance from the focus to the vertex is 12(6)=3 and the vertex is (-1, 1). Since the focus is to the right of the vertex, p=3. An equation is (y-1)^2=4⋅ 3[x-(-1)], or (y-...
If the coefficient is positive, it opens upward; if negative, the parabola opens downward. 5. Focus and Directrix In the context of conic sections, the focus is a fixed point through which all light rays parallel to the axis of symmetry will reflect off the parabola. The directrix is a ...
The equation of the parabola when its focus {eq}(p,q) {/eq} and the equation of the directrix {eq}y = l {/eq} are given, is found with the help of the standard equation of the parabola as given below: {eq}\left ( y-k \right )^{2}...
Interactive parabola. Explore equation, formula and graph of parabola with our interative tool. Save the graph to your desktop as an image!
Equation of parabola with focus (0,2) and directrix y + 2 = 0 is Ax2=8y Bx2=2y Cx2=4y Dy2=4xSubmit Find the equation of the parabola with focus F(0,-3) and directrix y=3. View Solution Equation of the parabola with focus (3.-4) and directrix x+y+7=0 is View Solution...
parabola, opencurve, aconic sectionproduced by the intersection of a right circularconeand a plane parallel to an element of the cone. As a plane curve, it may be defined as the path (locus) of a point moving so that its distance from a fixedline(the directrix) is equal to its distanc...
Find the equation of hyperbola whose equation of directrix is x+2y=1, focus is (-1,-1) and eccentricity is√2. View Solution Find the equation of the parabola whose focus is (2, 0) and directrix isx=−2. View Solution Find the equation of the hyperbola whose : focus is (2,2)...