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OpenStudy (anonymous):
OpenStudy (imstuck):
Do you know much about parabolas?
OpenStudy (anonymous):
yah but not when it comes to directrix
OpenStudy (anonymous):
@paki @mathmate
OpenStudy (imstuck):
Ok, I got you if you need help. I love these things.
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OpenStudy (anonymous):
ok yes please haha
OpenStudy (imstuck):
The standard equation for a parabola of this type is \[(x-h)^{2}=4py\] This is because the vertex is off center and it is a parabola that opens upwards.
OpenStudy (imstuck):
Ok, first things first here. Let's draw this out so far.
OpenStudy (imstuck):
|dw:1402332815834:dw|Do you know where the vertex lies in regards to the focus and the directrix?
OpenStudy (imstuck):
Do you know what the line of symmetry is?
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OpenStudy (anonymous):
yah its the line straight down in the middle of the paraabola
OpenStudy (anonymous):
@IMStuck
OpenStudy (imstuck):
Right. So the line of symmetry is at x = 5. Do you know where the vertex is then? It lies directly between the focus and the directrix. The focus is at (5, -1) and the directrix is y = 1. Where is the vertex?