Question: Find an equation for the conic that satisfies the given conditions. (a) Parabola, vertex (0, 0), focus (1,0) (b) Parabola, focus (-4,0), directix x =2

Find an equation for the conic that satisfies the given conditions.
(a) Parabola, vertex (0, 0), focus (1,0)
(b) Parabola, focus (-4,0), directix x =2
(c) Parabola, vertex (2,3), vertical axis, passing through (1,5).
(d) Ellips, foci (±2, 0), vertices (±5, 0)

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