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

1 answer:

7 0

Answer:

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

Step-by-step 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 $y = x - 2$

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This is the problem that we need to solve. The best way to get about it is to first:

Multiply the constant numbers (3 and 17). 3×17 is 51.
Next multiply the radicals.
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Our final answer would be:
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