Given:
Focus = (1,0)
Directrix=y=4
To determine the equation of the parabola, we first find the middle distance between the focus and the directrix:
Middle distance= 4/2=2
Based on the given middle distance, the vertex would be:
[tex](h,k)=(1,0+2)=(1,2)[/tex]
Next, we use the formula:
[tex](x-h)^2=4p(y-k)[/tex]
where:
h=1
k=2
p=distance between the focus and vertex=2
So,
[tex][/tex]
