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Question
Find the equation of the following parabolas:
Directrix x = 0, focus at (6, 0)
Solution
Given that directrix = 0 and focus (6, 0)
∴ The equation of the parabola is (x – 6)2 + y2 = x2
⇒ x2 + 36 – 12x + y2 = x2
⇒ y2 – 12x + 36 = 0
Hence, the required equations is y2 – 12x + 36 = 0
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