laurenmanuel513
Answered

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

Sagot :

Answer:

Eliminating the parameter, the equation is [tex]y = x - 2[/tex]

Step-by-step explanation:

We are given the following parametric equations:

[tex]x = t^2 + 1[/tex]

[tex]y = t^2 - 1[/tex]

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

[tex]x = t^2 + 1[/tex]

[tex]t^2 = x - 1[/tex]

Replacing in the second equation:

[tex]y = x - 1 - 1[/tex]

[tex]y = x - 2[/tex]

Eliminating the parameter, the equation is [tex]y = x - 2[/tex]

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