Question

Eliminate the parameter. x = t^2 + 1, y = t^2 - 1.

Answer 1

Eliminating the parameter, the equation is
`y = x - 2`

Explanation:

We are given the following parametric equations:

`x = t^2 + 1`

`y = t^2 - 1`

We want to eliminate the parameter t. From the first equation:

`x = t^2 + 1`

`t^2 = x - 1`

Replacing in the second equation:

`y = x - 1 - 1`

`y = x - 2`

Eliminating the parameter, the equation is
`y = x - 2`