Parabolas, Ellipses & Hyperbolas

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Exercises for students
Sketch the following curves on paper and check your graphs using the above applet:
y = 4x2 4y2 = x y - 1 = 4(x - 2)2 4(y - 1)2 = x - 2
x2 + 16y2 = 16 16x2 + y2 = 16 (x - 2)2 + 16(y - 1)2 = 16 16(x - 2)2 + (y - 1)2 = 16
x2 - y2 = 16 y2 - x2 = 16 (x - 2)2 - (y - 1)2 = 16 (y - 1)2 - (x - 2)2 = 16





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