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Mathematics 15 Online
OpenStudy (lovelyharmonics):

even MORE parabolas XD

OpenStudy (lovelyharmonics):

Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±five divided by four times x.

ganeshie8 (ganeshie8):

First notice that this is a vertical hyperbola, since the vertices are along y axis

ganeshie8 (ganeshie8):

\(a = 10\)

ganeshie8 (ganeshie8):

\(\large \dfrac{y^2}{a^2} -\dfrac{x^2}{b^2} = 1\)

ganeshie8 (ganeshie8):

you already know \(a = 10\) so u just need to find the value of \(b\)

OpenStudy (lovelyharmonics):

wait how do you know the verticies are on the y axis? it just says 0,+-10.... nothing about y

ganeshie8 (ganeshie8):

plot (0, 10) and (0, -10)

ganeshie8 (ganeshie8):

|dw:1398376764254:dw|

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