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Mathematics 12 Online
OpenStudy (superhelp101):

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

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

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

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 \[x=3\frac{\left(\frac{y+1}{4}\right)^2}{2}\]

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

OpenStudy (anonymous):

with no parameter of \(t\) is all that means

OpenStudy (superhelp101):

Okay

OpenStudy (superhelp101):

Thxx :D

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