Question

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

Answer 1

Answer:

Hello

y=(x+1)/12 +1

Step-by-step explanation:

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