Find the vertices, foci, and asymptotes of the hyperbola given by the equation y2x21. Sketch the graph.94 相关知识点: 试题来源: 解析 ΓheverticesareV_1(0,3)andV_2(0,-3) . The foci are F1(0, V13) and F2(0, -V13). 3 . the
Identify the graph of the conic section 4x^2+7xy-5y^2+3=0 under rotation. \ a) circle \ b) ellipse \ c) hyperbola \ d) parabola (1) Find the center, vertices and foci of the conic, and sketch its graph. A) 9x^2 + 25y^2 - 18x...
Find the vertices.( ((Vertex))_1): ( (0,6))( ((Vertex))_2): ( (0,-6))Find the foci.( ((Focus))_1): ( (0,4√2))( ((Focus))_2): ( (0,-4√2))These values represent the important values for graphing and analyzing an ellipse.Center: ( (0,0))( ((Ve...
Find the vertices and foci of the conic section \frac{(x - 6}{3})^2 - (\frac{y - 2}{9})^2 = 1. Identify what type of conic section is given by the equation below and then find the center, foci, and vertices. If it is a hyperbola, ...
Step 1: Identify the foci and determine c The foci of the hyperbola are given as (0, ±√10). This means that the distance from the center to the foci, denoted asc, isc=√10. Step 2: Calculatec2 We calculatec2: c2=(√10)2=10 ...
The center of a hyperbola follows the form of ( (h,k)). Substitute in the values of ( h) and ( k). ( (0,2)) Find ( c), the distance from the center to a focus. (√(34)) Find the vertices. ( (0,5),(0,-1)) Find the foci. ( (0,2+√(34)),(0,2-√(...
We first rite the standard form or the general form of the hyperbola, so as to get the focus, vertices, asymptotes of that hyperbola, so as to plot it easily. Answer and Explanation: The given hyperbola is: {eq}\dfrac{y^2}{49} - \dfra...
Substitute in the values of h and k. (0,0) Find c, the distance from the center to a focu s. 210 Find the vertices. verte:(7,0) vte2:(-7,0) Find the foci. F1:(2√10,0) F 2:(2√10,0) T hese values represent the important values f or graphing and analyzing a...
From the equation of the hyperbola, we can find the length of the major axis and the length of the minor axis. We can also find the foci point of the hyperbola. There will be two focus points of the hyperbola. Answer and Explanation: We have the conic given...
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