Parametric equations for the portion of the parabola y=x^2?

sheldonrocks97
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Homework Statement



Find the parametric equations for the portion of the parabola y=x^2 from
(-1,1) to (3,9)


Homework Equations



None that I know of.

The Attempt at a Solution



Using knowledge of parametric equations I am not sure how to start. My teacher never went over this in class and she assigned it as homework. How do I start?
 
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sheldonrocks97 said:

Homework Statement



Find the parametric equations for the portion of the parabola y=x^2 from
(-1,1) to (3,9)


Homework Equations



None that I know of.

The Attempt at a Solution



Using knowledge of parametric equations I am not sure how to start. My teacher never went over this in class and she assigned it as homework. How do I start?

If you let ##x=t## what would ##y## be? What values of ##t## would you use?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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