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What is the equation of the directrix of the parabola given by the equation (y-3)² = 8(x-5)?
O A. y=3
B. x=3
OC.
x=5
OD. y=-5
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Answer :

GinnyAnswer
The equation of the directrix of a parabola in the form (y-k)² = 4a(x-h) is x = h - a. In the given equation (y-3)² = 8(x-5), the vertex is at (5, 3) and the value of 'a' is 2 (since 4a = 8, giving a = 2). Therefore, the equation of the directrix is x = 5 - 2, which simplifies to x = 3. Hence, the correct answer is B. x = 3.

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