X=(3t^2)/2
Y=4t-1
Using these two parametric equations convert it into rectangular form.
Then u have to determine what type of equation the rectangular form describes
I recall don't get this
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OpenStudy (superhelp101):
@satellite73
Do u think u can help?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
or better yes, solve
\[y=4t-1\] for \(t\)
OpenStudy (anonymous):
you should get \(t=\frac{y-1}{4}\)
OpenStudy (superhelp101):
Yes
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OpenStudy (anonymous):
then replace \(t\) in
\[x=\frac{3t^2}{2}\] by \(\frac{y-1}{2}\)
OpenStudy (anonymous):
you will have \(x\) written in terms of \(y\)
OpenStudy (anonymous):
i get
\[x=\frac{3(y-1)^2}{4}\] check my algebra
OpenStudy (superhelp101):
Yeah I got that too
OpenStudy (anonymous):
well it is wrong 1
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OpenStudy (anonymous):
it should be
\[x=\frac{3(y-1)^2}{8}\] i forgot to square the 2
OpenStudy (superhelp101):
Oops I think I did y+2 instead of y-1
OpenStudy (anonymous):
oh crap the whole thing is wrong
must be getting late
OpenStudy (anonymous):
\[t=\frac{y+1}{4}\]right?
OpenStudy (anonymous):
so
\[x=3\frac{\left(\frac{y+1}{4}\right)^2}{2}\]
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OpenStudy (anonymous):
or
\[x=\frac{3(y+1)^2}{32}\]
OpenStudy (superhelp101):
Yesss :))
OpenStudy (anonymous):
a parabola
OpenStudy (superhelp101):
Oh so that is rectangular form?
OpenStudy (anonymous):
yes
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