What does the Cartesian equation of a Parametric function tell

Jeffery Clements

Jeffery Clements

Answered question

2022-06-07

What does the Cartesian equation of a Parametric function tell us?

Answer & Explanation

Daniel Valdez

Daniel Valdez

Beginner2022-06-08Added 19 answers

Step 1
Parametric equn of parabola
x = 2 f t ; y = f t 2
Find t from first part
t = x 2 f
Plug it into second part
y = f ( x 2 f ) 2
simplify
4 f y = x 2
Both ways it represents the same curve.
If t represents time we know how the speed of x,y components are individually represented. Here x speed is constant but y speed increase with time.
glycleWogry

glycleWogry

Beginner2022-06-09Added 8 answers

The parametric curve converted into a cartesian curve, when it is possible to do so, passes through all of the same points as the original. In that sense, it is an "exact replica." The information lost is how fast the curve gets traced out. Depending on the situation, this piece of information may or may not be important.

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