changing parametric equations to cartesians!!!!!!!!!!!

[wolfgirrrl]

so in the equation it says

parametric equations give us the ability to graph curves that are not functions. graph the following two sets of curves, determine their corresponding Cartesian equations, and tell how you can determine which direction the parabola will open based on their parametric equations,

a) x(t)= (t^2)/2 , y(t)=t on [-2,2]

b)x(t)=√(t-1) , y(t)=t-1 on [1,5]


please help, my algebra teacher barely went over this stuff

 

[Deleted member 4993]

so in the equation it says

parametric equations give us the ability to graph curves that are not functions. graph the following two sets of curves, determine their corresponding Cartesian equations, and tell how you can determine which direction the parabola will open based on their parametric equations,

a) x(t)= (t^2)/2 , y(t)=t on [-2,2]

b)x(t)=√(t-1) , y(t)=t-1 on [1,5]


please help, my algebra teacher barely went over this stuff

a) y^2(t) = t^2 → how would express this in terms of x(t)?

b) x^2(t) = t-1 → how would express this in terms of y(t)?

What are your thoughts?

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[stapel]

determine their corresponding Cartesian equations....

a) x(t)= (t^2)/2 , y(t)=t on [-2,2]

b)x(t)=√(t-1) , y(t)=t-1 on [1,5]

please help, my algebra teacher barely went over this stuff

Then the first thing you need to do is study some lessons, so you're familiar enough with the terms and techniques to be able to attempt to at least start these exercises. Here are a few such lessons:

. . . . .Paul's Online Notes: Parametric Equations
. . . . .Homework Hints
. . . . .Parametric Curves (showing direction)
. . . . .Worked Examples
. . . . .Examples (requires Java)

Once you have studied at least three of the lessons above, please attempt at least one of the exercises. If you get stuck, you can then reply with a clear listing of your efforts so far, at which point we can begin to work with you. Thank you!