anonymous
  • anonymous
HELP PLEASE !! FAN AND MEDAL find the equation for the parabola given focus(-2,-4) and directrix x= 6
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
essentially, you could just use the definition of a parabola to define all points (x,y) that are the same distance from the focus and the directrix
amistre64
  • amistre64
do you know the distance formula?
amistre64
  • amistre64
the point that you are an equal distance from the directrix, has a constant x=6, and y=y giving us the relationship \[(x--2)^2+(y--4)^2=(x-6)^2+(y-y)^2\] the rest is just simplifications

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