Question 768972
Focus at (2, 4); directrix the line x = -4. Find the equation of the parabola described and two point that define the latus rectum.
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Parabola opens rightward.
Its basic equation: (y-k)^2=4p(x-h)
vertex: (-1,4)
p=3
4p=12
Equation: (y-4)^2=12(x+1)
coordinates of latus rectum or focal width
set x=2
(y-4)^2=12(2+1)=12*3=36
y-4=±√36=±6
y=4±6
end points of latus rectum: (2,10) and (2,-2)