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Mathematics 20 Online
OpenStudy (anonymous):

How to find the vertex, focus, and directrix of the parabola with this equation: (x-5)+(y+4)^2=0

Nnesha (nnesha):

is that vertical or horizontal ?? do you know ?

OpenStudy (anonymous):

umm i don't know... horizontal?

Nnesha (nnesha):

if x square then = vertical and if y square = then it's horizontal

Nnesha (nnesha):

so yes it's horizontal

OpenStudy (anonymous):

so for this equation, since (y+4)^2 this equation is horizontal

Nnesha (nnesha):

\[\large\rm (y-k)^2 = 4p(x-h)\] standard form equation of parabola for horizontal

Nnesha (nnesha):

yep that is right :)

OpenStudy (anonymous):

do I bring the (x-5) to the other side of the equation? to get (7+4)^2 by it self?

Nnesha (nnesha):

vertex is same as center

Nnesha (nnesha):

7 ???

OpenStudy (anonymous):

opps i meant Y

Nnesha (nnesha):

yes right

OpenStudy (anonymous):

\[(y+4)^2 = -(x-5) ??\]

Nnesha (nnesha):

yes that's right do you know what is 4p there ??

OpenStudy (anonymous):

would it be 4(-0.25)?

Nnesha (nnesha):

nope look at the equation |dw:1428984806123:dw| 4p = ?

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