anonymous
  • anonymous
Graph each pair of parametric equations. x=2t-1 y=t^2+5, -4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
solve the first one for \(t\) then plug that in to the second one
misty1212
  • misty1212
\[t=\frac{x+1}{2}\] plug that in for \(t\) in the second part, you will get a parabola

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More answers

anonymous
  • anonymous
wait so i dont even know how to solve for t..
misty1212
  • misty1212
can you solve \[x=2t-1\] for \(t\) ?
anonymous
  • anonymous
oh is it.. t=-1+x/2
misty1212
  • misty1212
no, but close
anonymous
  • anonymous
what did i do wrong?
misty1212
  • misty1212
what did you do? takes two steps
anonymous
  • anonymous
-2t=1+x t=(-1+x/2)
misty1212
  • misty1212
\[x=2t-1\\ x+1=2t\\ \frac{x+1}{2}=t\]
anonymous
  • anonymous
so i plug that into like desmos and that is my answer?
Loser66
  • Loser66
Why don't you make a T table?
misty1212
  • misty1212
yeah like desmos what the monkey is "desmos"? and while i am asking, what the heck is a "T table"?
anonymous
  • anonymous
i know.. what is a T tables haha
anonymous
  • anonymous
desmos is a graphing calculator online
Loser66
  • Loser66
|dw:1433727269976:dw|
misty1212
  • misty1212
you got \[y=t^2+5\] and \[t=\frac{x+1}{2}\] substitute and get \[y=\left(\frac{x+1}{2}\right)^2+5\]
misty1212
  • misty1212
see now the parameter is gone, hence the name "eliminate the parameter"
Loser66
  • Loser66
|dw:1433727410699:dw|
Loser66
  • 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.

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