Question

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

Answer 1

Answer:
`y=(x+1)^2`

Step-by-step explanation:

Given

`\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}`

From (1)

`t=x+1\ldots.\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(3)`

Substitute (3) into (2)

`\begin{gathered} y=(x+1)^2 \\ \end{gathered}`