At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Sagot :

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]