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Mathematics 12 Online
OpenStudy (babynini):

Parabolas and equations

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?

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

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"

OpenStudy (babynini):

I shall from now on ^-^ hah

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