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Mathematics 18 Online
OpenStudy (marigirl):

Please help me form a quadratic equation

OpenStudy (marigirl):

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OpenStudy (marigirl):

\[y=a (\frac{ b }{ 2 }+x)(\frac{ b }{ 2}-x)\] Is that a good start?

ganeshie8 (ganeshie8):

Looks good, plugin the point \((0, h)\) and find the value of \(a\)

OpenStudy (marigirl):

-a

ganeshie8 (ganeshie8):

what do you mean?

OpenStudy (marigirl):

y= -a (b/2+x) (b/2-x) Or y= a (b/2+x) (b/2-x) Should I do -a or a I should do -a because it's a negative quadratic

ganeshie8 (ganeshie8):

It doesn't matter

ganeshie8 (ganeshie8):

\[y=a (\frac{ b }{ 2 }+x)(\frac{ b }{ 2}-x)\] plugin the point \((0, h)\) and find the value of \(a\)

OpenStudy (marigirl):

Ok I got a= 4h/b^2 Shouldn't be a negative value?

ganeshie8 (ganeshie8):

so the equation is \[y=\dfrac{4h}{b^2} (\frac{ b }{ 2 }+x)(\frac{ b }{ 2}-x)\] simplify if you want to

OpenStudy (elise_a18):

dang. I learned this last year and already forget how

OpenStudy (marigirl):

Ahhhhhhhhh yes y=(-4h-x^2/b^2)+h

ganeshie8 (ganeshie8):

do you mean y = -(4h/b^2)x^2+h ?

OpenStudy (elise_a18):

can you help me with my geometry? ;~;

OpenStudy (marigirl):

Wait I stuffed up

OpenStudy (elise_a18):

im really sorry

OpenStudy (marigirl):

I expanded the bracket and simplified to y= h - (4hx^2/b^2)

OpenStudy (marigirl):

Thanks!

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