## anonymous one year ago Graph each pair of parametric equations. x=2t-1 y=t^2+5, -4</=t</=4 Will fan and Medal!

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1. misty1212

HI!!

2. misty1212

solve the first one for $$t$$ then plug that in to the second one

3. misty1212

$t=\frac{x+1}{2}$ plug that in for $$t$$ in the second part, you will get a parabola

4. anonymous

wait so i dont even know how to solve for t..

5. misty1212

can you solve $x=2t-1$ for $$t$$ ?

6. anonymous

oh is it.. t=-1+x/2

7. misty1212

no, but close

8. anonymous

what did i do wrong?

9. misty1212

what did you do? takes two steps

10. anonymous

-2t=1+x t=(-1+x/2)

11. misty1212

$x=2t-1\\ x+1=2t\\ \frac{x+1}{2}=t$

12. anonymous

so i plug that into like desmos and that is my answer?

13. Loser66

Why don't you make a T table?

14. misty1212

yeah like desmos what the monkey is "desmos"? and while i am asking, what the heck is a "T table"?

15. anonymous

i know.. what is a T tables haha

16. anonymous

desmos is a graphing calculator online

17. Loser66

|dw:1433727269976:dw|

18. misty1212

you got $y=t^2+5$ and $t=\frac{x+1}{2}$ substitute and get $y=\left(\frac{x+1}{2}\right)^2+5$

19. misty1212

see now the parameter is gone, hence the name "eliminate the parameter"

20. Loser66

|dw:1433727410699:dw|

21. Loser66

I was taught that it is the easiest way to graph a parametric equation or polar function. We don't have to manipulate the given functions to get rid of t.