Mathematics
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OpenStudy (anonymous):
find the equation of parabola with vertex (2,-3) directrix x=-2
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
what's the distance from (2,-3) to the line x = -2
OpenStudy (anonymous):
k i have the answer can u check if it is correct or not
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
\[(y-3)^{2} =8(x-2)\]
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OpenStudy (anonymous):
no it is +3
jimthompson5910 (jim_thompson5910):
that's not correct
jimthompson5910 (jim_thompson5910):
the directrix of (y+3)^2 =8(x-2) is x = 0, not x = -2
OpenStudy (anonymous):
but i got 8
OpenStudy (anonymous):
what is incorrect?
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
it should be (y+3)^2 =16(x-2)
jimthompson5910 (jim_thompson5910):
the focal distance is p = 4
you would then multiply that by 4 to get 16
OpenStudy (anonymous):
opps i did 4*2 okay sorry
jimthompson5910 (jim_thompson5910):
np
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OpenStudy (anonymous):
so the answer is (y+3)^2 = 16(x-2)
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
k i have 1 more
jimthompson5910 (jim_thompson5910):
ok
OpenStudy (anonymous):
find the equation of hyperbola with vertices (2,-3) and (2,5) and foci (2,-4) and( 2,6)
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jimthompson5910 (jim_thompson5910):
you got what
OpenStudy (anonymous):
\[\frac{ (x-2) ^{2}}{ 9 }- \frac{ (y-1)^{2} }{ 16 }\]
jimthompson5910 (jim_thompson5910):
that's not correct
OpenStudy (anonymous):
:(
jimthompson5910 (jim_thompson5910):
you're on the right track though
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jimthompson5910 (jim_thompson5910):
you just have a few things mixed up
OpenStudy (anonymous):
like what?
jimthompson5910 (jim_thompson5910):
well the signs are mixed up for starters
jimthompson5910 (jim_thompson5910):
it should be in the form
- ((x - h)^2)/(a^2) + ((y - k)^2)/(b^2) =1
OpenStudy (anonymous):
and what is the correct answer?
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jimthompson5910 (jim_thompson5910):
you tell me, try it again and tell me what you get
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
\[\frac{ (y-1) ^{2}}{ 16}-\frac{ (x-2) }{ 9 }=1\]
jimthompson5910 (jim_thompson5910):
much better
OpenStudy (anonymous):
so this is correct?
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jimthompson5910 (jim_thompson5910):
oh you're missing a square over the (x-2), but yes it is
OpenStudy (anonymous):
oh sorry k thank you like i told u yeasterday day u are a great teacher
jimthompson5910 (jim_thompson5910):
thx and it's ok
OpenStudy (anonymous):
thank you!
jimthompson5910 (jim_thompson5910):
yw