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The equation of parabola passing through the point (–4, –7), whose directrix is parallel to x-axis and vertex is the point (4,–3) is

The equation of parabola passing through the point (–4, –7), whose directrix is parallel to x-axis and vertex is the point (4,–3) is Correct Answer x<sup>2</sup> – 8x + 16y + 64 = 0 

Directrix parallel to x-axis  axis of parabola parallel to y-axis.

hence x–4)2 = 4a (y + 3)

(–4, –7) lie on it  ⇒ a = –4

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