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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
    • one year ago
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    HI!!

  2. misty1212
    • one year ago
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    solve the first one for \(t\) then plug that in to the second one

  3. misty1212
    • one year ago
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    \[t=\frac{x+1}{2}\] plug that in for \(t\) in the second part, you will get a parabola

  4. anonymous
    • one year ago
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    wait so i dont even know how to solve for t..

  5. misty1212
    • one year ago
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    can you solve \[x=2t-1\] for \(t\) ?

  6. anonymous
    • one year ago
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    oh is it.. t=-1+x/2

  7. misty1212
    • one year ago
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    no, but close

  8. anonymous
    • one year ago
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    what did i do wrong?

  9. misty1212
    • one year ago
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    what did you do? takes two steps

  10. anonymous
    • one year ago
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    -2t=1+x t=(-1+x/2)

  11. misty1212
    • one year ago
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    \[x=2t-1\\ x+1=2t\\ \frac{x+1}{2}=t\]

  12. anonymous
    • one year ago
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    so i plug that into like desmos and that is my answer?

  13. Loser66
    • one year ago
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    Why don't you make a T table?

  14. misty1212
    • one year ago
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    yeah like desmos what the monkey is "desmos"? and while i am asking, what the heck is a "T table"?

  15. anonymous
    • one year ago
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    i know.. what is a T tables haha

  16. anonymous
    • one year ago
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    desmos is a graphing calculator online

  17. Loser66
    • one year ago
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    |dw:1433727269976:dw|

  18. misty1212
    • one year ago
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    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
    • one year ago
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    see now the parameter is gone, hence the name "eliminate the parameter"

  20. Loser66
    • one year ago
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    |dw:1433727410699:dw|

  21. Loser66
    • one year ago
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    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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