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Mathematics 13 Online
OpenStudy (anonymous):

I'm having problems on this lesson. Can someone please help me understand it?

OpenStudy (anonymous):

Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.

OpenStudy (anonymous):

I found the vertex (0,0)

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

but i need to form the whole equation

OpenStudy (anonymous):

|dw:1406514170440:dw|

OpenStudy (anonymous):

you can see that it opens to the left so the y is squared not the x

OpenStudy (anonymous):

how do i know it opens to the left.. there's no p

OpenStudy (anonymous):

look at the picture of the focus and directrix

OpenStudy (anonymous):

ohhh yes the directrix is always on the curve?

OpenStudy (anonymous):

all points equidistant from those two you already found the vertex at \((0,0)\) so you must realize what the picture looks like right?

OpenStudy (anonymous):

no the directrix is a line, never on the curve

OpenStudy (anonymous):

yes but it's the line beside the curve?

OpenStudy (anonymous):

|dw:1406514387537:dw|

OpenStudy (anonymous):

|dw:1406514430990:dw|

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