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The equation of the parabola with (–3, 0) as focus and x + 5 = 0 as directirx, is

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The equation of the parabola with (–3, 0) as focus and x + 5 = 0 as directirx, is

(a) x2 = 4(y + 4) 

(b) x2 = 4(y - 4) 

(c) y2 = 4(x + 4) 

(d) y2 = 4(x - 4)

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1 Answer

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Best answer

Correct option  (c) y2 = 4(x + 4) 

Explanation:

Directrix = x + 5 = 0

Focus is (–3, 0) ⇒ 2a = (-5 + 3) = 2⇒ a = 1

Therefore, equation is (y - 0)2 = 4(x + 4) .

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