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Witch of agnesi(Parametric equation) (1 Viewer)

Hipeople

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Joined
Mar 29, 2023
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HSC
2025
Hi everyone,
can someone please help with the this curve( the witch of agnesi). The parametric equation is x= 2acosθ, y= 2asin^2θ.
I need to give a detailed description of the curves properties including type of relation/function, odness and evenness, x-and y-intercerpts and asymptotes.
So far, I got that it is even and there is no x-intercepts and the horizontal asymptote is at y=0, can someone please tell me if it's right.
 

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