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

Question

asked Oct 25, 2022 88.5k views

1 Answer

Pranzell · Answer 1 · 2022-10-31T04:56:53+0000

Answer:

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