A Hyperbola from Its Asymptotes
Difficulty: Medium · Topics: Algebra, Functions, Graphs of Functions
Asimptotalaridan giperbola
The graph of f(x)=(a)/(x-p)+q is shown. Its asymptotes are x=1 and y=2, and it passes through (2, 5).
graph "x":[-4,7],"y":[-4,8.5],"xTicks":[-4,-3,-2,-1,1,2,3,4,5,6,7],"yTicks":[-4,-3,-2,-1,1,2,3,4,5,6,7,8],"grid":true,"clip":true,"label":"Hyperbola with asymptotes x = 1 and y = 2","items":["type":"line","from":[1,-3.5],"to":[1,8],"dash":true,"ink":true,"width":1.1,"type":"line","from":[-4,2],"to":[7,2],"dash":true,"ink":true,"width":1.1,"type":"curve","points":[[-4,1.4],[-3.925,1.391],[-3.85,1.381],[-3.776,1.372],[-3.701,1.362],[-3.626,1.351],[-3.551,1.341],[-3.476,1.33],[-3.401,1.318],[-3.326,1.307],[-3.252,1.294],[-3.177,1.282],[-3.102,1.269],[-3.027,1.255],[-2.952,1.241],[-2.877,1.226],[-2.803,1.211],[-2.728,1.195],[-2.653,1.179],[-2.578,1.162],[-2.503,1.144],[-2.428,1.125],[-2.354,1.105],[-2.279,1.085],[-2.204,1.064],[-2.129,1.041],[-2.054,1.018],[-1.979,0.993],[-1.905,0.967],[-1.83,0.94],[-1.755,0.911],[-1.68,0.881],[-1.605,0.849],[-1.53,0.814],[-1.456,0.778],[-1.381,0.74],[-1.306,0.699],[-1.231,0.655],[-1.156,0.609],[-1.081,0.559],[-1.007,0.505],[-0.932,0.447],[-0.857,0.384],[-0.782,0.317],[-0.707,0.243],[-0.632,0.162],[-0.558,0.074],[-0.483,-0.023],[-0.408,-0.131],[-0.333,-0.25],[-0.258,-0.384],[-0.183,-0.535],[-0.109,-0.706],[-0.034,-0.902],[0.041,-1.128],[0.116,-1.393],[0.191,-1.707],[0.266,-2.084],[0.34,-2.548],[0.415,-3.13],[0.49,-3.882]],"start":"arrow","end":"arrow","type":"curve","points":[[1.49,8.122],[1.582,7.156],[1.674,6.453],[1.766,5.919],[1.857,5.499],[1.949,5.161],[2.041,4.882],[2.133,4.648],[2.225,4.45],[2.317,4.279],[2.408,4.13],[2.5,4],[2.592,3.884],[2.684,3.782],[2.776,3.69],[2.867,3.606],[2.959,3.531],[3.051,3.463],[3.143,3.4],[3.235,3.342],[3.327,3.289],[3.418,3.24],[3.51,3.195],[3.602,3.153],[3.694,3.114],[3.786,3.077],[3.878,3.043],[3.97,3.01],[4.061,2.98],[4.153,2.951],[4.245,2.924],[4.337,2.899],[4.429,2.875],[4.52,2.852],[4.612,2.83],[4.704,2.81],[4.796,2.79],[4.888,2.772],[4.98,2.754],[5.071,2.737],[5.163,2.721],[5.255,2.705],[5.3
f(x)=(a)/(x-p)+q ning grafigi berilgan. Uning asimptotalari x=1 va y=2, grafik (2, 5) nuqtadan o‘tadi.
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