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); ...
To find out the vertex and the focus of the given parabola you have to conert a general equation into the standard equation of the parabola by completing the square. The standard equation of a parabola opens rightward: (y−k)2=4p(x−h) Here (x...
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...
Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. {eq}(x + \frac{1}{2})^2 = 4(y - 1) {/eq} Parabola: The parabola opening in the positive y-axis direction, has the following standard equation: $$\begin{align} 4p(y...
Find the focus. Find the axis of symmetry by finding the line that passes through the vertex and the focus. Find the directrix. Use the properties of the parabola to analyze and graph the parabola. Direction: Opens Left Vertex: Focus: Axis of Symmetry: Directrix: 反馈...
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, directrix and sketch the g...
Find the standard form of the equation of the parabola with: a) Vertex: (6,3) ; Focus: (4,3) . b) Vertex: (1, 8) ; Focus: (3, 8) . Find the standard form of the equation of the parabola with the given characteristics. Vertex: (1, 2); ...
（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...
To find the vertex and length of the latus rectum of the parabola given by the equation x2=−4(y−a), we can follow these steps: Step 1: Identify the standard form of the parabolaThe given equation can be rewritten in the standard form of a parabola that opens downwards. The stand...
Find theaxis of symmetryby finding thelinethat passes through thevertexand thefocus. x=3x=3 Find thedirectrix. Tap for more steps... Theof ais thefound by subtractingpfrom thekof theif theopens up or down. y=k-p Substitute the known values ofpandkinto theand simplify. ...