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OpenStudy (babynini):
Parabolas and equations
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OpenStudy (babynini):
OpenStudy (babynini):
@rvc
OpenStudy (babynini):
@ganeshie8
ganeshie8 (ganeshie8):
First of all notice that the parabola with a directrix equation x = -1/3 opens to the right :
|dw:1433218519063:dw|
OpenStudy (babynini):
It's not the x line that is moving up and down, but rather y moving?
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ganeshie8 (ganeshie8):
the general form of equation of parabola that opens to right is
\[\large x = \frac{1}{4c}y^2\]
where \(c = \) distance between directrix and vertex
ganeshie8 (ganeshie8):
|dw:1433218643337:dw|
ganeshie8 (ganeshie8):
so the equation would be
\[\large x = \frac{1}{4*\frac{1}{3}}y^2\]
simplify
OpenStudy (babynini):
0.75y^2
OpenStudy (babynini):
or 3/4y^2
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ganeshie8 (ganeshie8):
x = 3/4 y^2
ganeshie8 (ganeshie8):
it is an equation, so you need to write the left hand side also ok
ganeshie8 (ganeshie8):
the equation of parabola in question is
\[x = \frac{3}{4}y^2\]
OpenStudy (babynini):
Yep :) thank you so much!! I had been accidentally writing it like |dw:1433218892849:dw| so that's why it was all wack
ganeshie8 (ganeshie8):
i see..
remember x = k is a "vertical line"
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OpenStudy (babynini):
I shall from now on ^-^ hah
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