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

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SUMMARY

The discussion focuses on deriving parametric equations for the segment of the parabola defined by the equation y=x^2, specifically from the points (-1,1) to (3,9). The solution involves setting x equal to a parameter t, which leads to the equation y=t^2. The values of t are determined by the x-coordinates of the endpoints, resulting in the range of t from -1 to 3. Thus, the parametric equations are x=t and y=t^2 for t in the interval [-1, 3].

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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?
 

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