Question: For the following exercises, graph the given conic section. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse,

For the following exercises, graph the given conic section. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse, label the vertices and foci. If it is a hyperbola, label the vertices and foci.

r= 2 3+ 3 sin 0

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The given polar equation is r 232sin We can convert this to Cartesian coordinates using the equations x r cos y r sin Substituting the given equation for r we get x 232sin cos y 232sin sin Simplifying these equations we get x 2cos32sin y 2sin32sin To graph this curve we can plot points for various values of We can also note that this curve has symmetry about the xaxis since replacing with gives the same value of r To find the type of conic section we can rewrite the equation ... View full answer

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