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Graphs : Rectangular and Parametric Forms

Graph
x=(t^2+2t+1)^(1/2)

y=(t^3+2t^4)/t^2

a. Graph on the interval [0,3]

b. Convert to rectangular form.

c. Adjust the domain of the rectangular form to agree the parametric form.

Solution Preview

b.)
x = sqrt(t^2 + 2t + 1) = (t+1)
y = (t^3 + 2t^4)/t^2
=> y = t(1+2t) [for t!=0]
=> y ...

Solution Summary

Polynomial expressions are converted to rectangular and parametric forms.

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