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RoseWind [281]
3 years ago
7

What equation represents the parabola with focus (-1,4) and directrix y= -2

Mathematics
1 answer:
Llana [10]3 years ago
3 0

Answer:

Hello

y=(x+1)/12 +1

Step-by-step explanation:

\text{As the directrice is horizontal:}\\\\\\y=-2 ==> k=-2\\\\Focus=(a,b)=(-1,4)\\\\\boxed{y=\dfrac{x-a}{2(b-k)} +\dfrac{b+k}{2} }\\\\\\y=\dfrac{x+1}{2(4+2)} +\dfrac{4-2}{2} }\\\\\boxed{y=\dfrac{x+1}{12} +1}\\

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