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); ...
Each point on the parabola is equidistant from a point (focus) and a line (directrix). The directrix is perpendicular to the parabola's axis. A horizontal axis parabola can be written as {eq}(y-k)^2=4p(x-h) {/eq}, where (h,k) is the vertex of ...
Find the vertex, focus, and directrix of the parabola, and sketch its graph. (x + 2)^2 = 8(y - 3) Find the vertex, focus, and directrix of the parabola, and sketch its graph. x^2+6y=0 Find the vertex, focus, and directrix of the parabol...
Question: find the vertex, the focus and directix of the following parablas: (a) y^2 =8xvertex: _ focus:_directrix:y=_ or x=_ enter answer in appropriate box, enter "NA" in other(b) x^2=-40yvertex:fo...
Answer to: Find the vertex, focus, and directrix of the parabola, and sketch its graph. (y - 2)^2 = 2x + 1 By signing up, you'll get thousands of...
What is the focus and directrix of a parabola? A parabola is defined to be the set of all points which are the same distance from its focus and directrix. Where is the focus of a parabola? The focus of a parabola given in vertex form y = a(x-h)^2 +...
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. ( (-2,5)) Find the distance from the focus to the vertex. ( p=-1) Substitute in the known values for the variables into the equation( ((x-...
（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...
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. Thexwill be the same as ...
Focus and Directrix Applet Explore how the focus and directrix relate to the graph of a parabola with the interactive program below. A B C y = x 2 + 2 x - 3 y = ( x + 1 ) 2 - 4 Show Vertex (-1, -4) Roots Focus/Diretrix Locus Axis x = -1 Y Intercept Sh...