Show that y = x 2 /4c is the equation of a parabola with directrix y =

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Show that y = x²/4c is the equation of a parabola with directrix y = −c, focus (0, c), and the vertex at the origin, as stated in Theorem 3.

THEOREM 3 Parabola in Standard Position Let c#0. The parabola with focus F = (0, c) and directrix y= -c has

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 25, 2023 08:29 AM

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Show that y = x 2 /4c is the equation of a parabola with directrix y =

Question:

THEOREM 3 Parabola in Standard Position Let c#0. The parabola with focus F = (0, c) and directrix y = -c has equation The vertex is located at the origin. The parabola opens upward if c> 0 and downward if c < 0.

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The points P x y on the parabola ar...View the full answer

Calculus

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