Solving Parametric Equations: x(t)=2t-1 & y(t)=t^2

[shauna_o]

Homework Statement

x(t)=2t-1
y(t)=t^2

algebraically eliminate the parameter to create a rectangular equation

Homework Equations

There was an example in our book that showed how to do this if the two equations contained sine and cosine, however nothing was said if they didn't. I don't even know where to start?

 

[shauna_o]

I've been working with this problem still, and was wondering if i was on the right track...

to solve for the parameter i have to isolate the T and then subsitute into the other problem?

hopefully that's correct, but i'd love if someone could let me know. thanks!

 

[rock.freak667]

I've been working with this problem still, and was wondering if i was on the right track...

to solve for the parameter i have to isolate the T and then subsitute into the other problem?

hopefully that's correct, but i'd love if someone could let me know. thanks!

To convert from parametric to Cartesian, you must eliminate the parameter. So,yes, that is the way to go.

 

[HallsofIvy]

x(t)=2t-1
y(t)=t²

From the first equation 2t- 1= x so 2t= x+1 and t= (x+1)/2. Replace t in the second equation by that.