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andre [41]
3 years ago
13

What is the equation of the quadratic graph with a focus of (2, 0) and a directrix of y = −12?

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0
Distance from  the point (x,y) to the focus  = distance of (x,y) from the directrix
so we have

sqrt  [(x - 2)^2 + y2]  = 12 + y

squaring both sides
x^2 - 4x + 4 + y^2 = 144 + 24y + y^2

x^2 - 4x + 4 = 144 + 24y

24y = x^2 -4x - 140

y = x^2/24 - x/6 -  35/6    is the required equation
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Answer:

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Step-by-step explanation:

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kakasveta [241]

Answer:

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Step-by-step explanation:

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svetoff [14.1K]
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