WebJan 4, 2024 · The vertex is V =(-1,2) The focus is F =(0,2) The directrix is x=-2 Let's rearrange the equation and complete the squares y^2-4y=4x y^2-4y+4=4x+4 (y-2)^2=4(x+1) Comparing this equation to (y-b)^2=2p(x-a) p=2 The vertex is V =(a,b)=(-1,2) The focus is F =(a+p/2,b)=(0,2) The directrix is x=a-p/2 x=-1-1=-2 graph{(y^2-4y-4x)(y … WebFind the Directrix y^2=4x y2 = 4x y 2 = 4 x Rewrite the equation in vertex form. Tap for more steps... x = 1 4y2 x = 1 4 y 2 Use the vertex form, x = a(y−k)2 +h x = a ( y - k) 2 + h, to determine the values of a a, h h, and k k. a = 1 4 a = 1 4 h = 0 h = 0 k = 0 k = 0 Find the vertex (h,k) ( h, k). (0,0) ( 0, 0)
Graph y=x^2+4x-5 Mathway
Web1) what are the vertex, focus, and directrix of the parabola with the given equation? x^2-8x-28y-124=0 vertex (4,-5) focus (0,7) directrix y=-12 2) write an equation of a circle … WebSymbolab is the best step by step calculator for a wide range of physics problems, including mechanics, electricity and magnetism, and thermodynamics. It shows you the steps and explanations for each problem, so you can learn as you … greenhouse academy ravens t shirt
Parabola Equations and Graphs, Directrix and Focus …
Web1) what are the vertex, focus, and directrix of the parabola with the given equation? x^2-8x-28y-124=0 vertex (4,-5) focus (0,7) directrix y=-12 2) write an equation of a circle with given center and. Find the focus, directrix, and focal diameter of the parabola. y2 = 8x. write the equations of the parabola, the directrix, and the axis of symmetry. WebFeb 13, 2024 · Step-by-Step Guide to Finding the Focus, Vertex, and Directrix of a Parabola. The standard form of Parabola when it opens up or down is (x−h)2 = 4p(y−k) ( x − h) 2 = 4 p ( y − k), where the focus is h,k+ p h, k + p and the directrix is y = k− p y = k − p. The standard form of Parabola when it opens right or left is (y+k)2 = 4p(x−h ... fly and test