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OpenStudy (marigirl):
Please help me form a quadratic equation
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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?
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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
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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
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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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