The parametric equations of a hyperbola are x=h+a sect and y = k +btan t, where (h,k) is the center, a is the distance from the center to a vertex of the hyperbola, and c is the distance from the center to a focus of the hyperbola with c2 = a? +b? Find a set of parametric equations for a hyperbola with vertices at (4,0) and (- 4,0) and foci at (8,0) and (- 8,0). The parametric equations for a hyperbola are x= (Simplify your answer. Type exact answers, using radicals as needed ) and y =

Q: An ellipse has parametric equations x = 4 cost and y=3sint. The coordinates of the x-axis intercepts…

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Q: Consider this hyperbola. 9(x+5)2 - 25(y-2)2 =225 a) find parametric equations to describe the…

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A: Let's find equation of parabola.

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A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: How can you distinguish parabolas from other conic sections by looking at their equations?

A: Query- How can you distinguish parabolas from other conic sections by looking at their equations?…