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X(t) = -1Rewrite the given parametric equations in Cartesian form:y) = ?Oy=x-1Oy=x+1Oy=x²-1Oy=(x+1)

Answer :

Answer:[tex]y=(x+1)^2[/tex]

Explanation:

Given

[tex]\begin{gathered} x(t)=t-1\ldots.\ldots\ldots\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(1) \\ y(t)=t^2\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(2) \end{gathered}[/tex]

From (1)

[tex]t=x+1\ldots.\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(3)[/tex]

Substitute (3) into (2)

[tex]\begin{gathered} y=(x+1)^2 \\ \end{gathered}[/tex]