Question

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

Answer 1

Hello

y=(x+1)/12 +1

Explanation:

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