Steps to Find the Focus & Directrix of a Parabola Step 1: Identify the given equation and determine orientation of the parabola. Step 2: Find {eq}h, k {/eq}, and {eq}p {/eq} using the equation of the parabola {eq}{(x-h)}^2=4p(y-k) {/eq} or {eq}{(y-k)}^2=4p(x...
Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. y=14(x2−2x+5) 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...
The(h,k)is halfway between theand. Find theyof theusing they=y coordinate of focus+directrix2. Thexwill be the same as thexof the. (9,0-42) Cancel theof0-4and2. 2out of0. (9,2⋅0-42) 2out of-4. (9,2⋅0+2⋅-22) ...
Find the vertex, focus, and directrix of the parabola x - 1 = (y + 5)^2 and sketch its graph. Find the vertex, focus, and directrix of the parabola, and sketch its graph. 4x - y^2 = 0 Find the vertex, the focus and the directrix of the parabola and sket...
Since the directrix is horizontal, use the equation of a parabola that opens left or right. ( ((y-k))^2=4p(x-h)) Find the vertex. ( (7/2,7)) Find the distance from the focus to the vertex. ( p=5/2) Substitute in the known values for the variables into the equation...
解析 Since the directrix is vertical, use the equation of a parabola that opens up or down. Find the vertex. Find the distance from the focus to the vertex. Substitute in the known values for the variables into the equation. Simplify....
A parabola is the locus of a point that is equidistant from a fixed line called the directrix, and a fixed point called the focus of the parabola. The standard form of the equation of a parabola is {eq}(x-h)^2=4a(y-k) {/eq}, where the focus is {eq}(h,k+...
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); ...
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 ...
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