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Mathematics 20 Online
OpenStudy (anonymous):

OpenStudy (amistre64):

first we draw a picture to get our bearings

OpenStudy (amistre64):

|dw:1331828108450:dw|

OpenStudy (anonymous):

okay

OpenStudy (amistre64):

the vertex of our parabola is going to be the midpoint between the d and f; in this case its (0,0)

OpenStudy (amistre64):

the parabola opens up towards the focus soo

OpenStudy (amistre64):

|dw:1331828187501:dw|

OpenStudy (amistre64):

this is of the form: y^2 = 4ax ; where a half the distance from d to f

OpenStudy (amistre64):

the distance from -3 to 3 = 6; so a = 6/2 = 3

OpenStudy (amistre64):

y^2 = 4(3)x y^2 = 12x

OpenStudy (anonymous):

so the answer is y = 1/12 x^2?

OpenStudy (amistre64):

http://www.wolframalpha.com/input/?i=y%5E2%3D12x no, the equation is: y^2 = 12x

OpenStudy (anonymous):

okay but its not my choices so the one similiar to that is x = 1/12y^2

OpenStudy (amistre64):

similar aint gonna cut it :) let me see the options so that I can determine a suitable choice

OpenStudy (amistre64):

1 x = --- y^2 is adequate as long as the y^2 aint in a denominator 12

OpenStudy (anonymous):

Okay x = 1/12y^2 x = - 1/12 y^2 y = -1/12 x^2 x= 1/12y^2

OpenStudy (amistre64):

then yes :) x = 1/12 y^2

OpenStudy (anonymous):

I have two more can i do it myself and you tell me if its correct or not?

OpenStudy (amistre64):

i can dbl chk your results yes

OpenStudy (anonymous):

Write the equation of a parabola with a vertex at (0, 0) and a focus at (-4, 0). y= -1/16 x^2 ?

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