Eliminate the parameter.
x = t2 + 3, y = t2 - 2

y = x - 5

Step-by-step explanation:

"Eliminate the parameter" means we want to eliminate the extra variable and rewrite it ias one equation that only contains x, y, and possibly a constant.

The extra variable in the equations is "t".  Manipulate one of the equations to solve for t². Then substitute t² = it into the other equation.

x = t² + 3         →          x - 3 = t²

y = t² - 2

y = (x - 3) - 2

y = x - 5

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

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