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.
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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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