Write equation in standard form of conic with characteristic


Write down equation in standard form of conic with given characteristics:

a) parabola: vertex (3,-3) and focus (3, -9/4)

b) ellipse: center (2,-1), vertex (2, 1/2), length of minor axis: 2

c) hyperbola: foci: (2,5) and (2,-5), and covertices: (-2,0) and (6,0)

d) hyperbola: vertices (3,0) and (3,4) and asymptotes: y= 2/3x and y= 4 - 2/3x

e) circle: diameter with endpoints P(-4, -3) and Q(-10,5)

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Mathematics: Write equation in standard form of conic with characteristic
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