Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.

Question

x=t+2

y=t²

Options:

a. y=t-2

b. y=x²+4x+4

c. y+x²

d. y+x²-4x+4

e. y=t+2

Answer 1

One of the most common strategies to eliminate the parameter(convert a parametric equation into a cartesian equation) is to use substitution.

In this problem it is easy to solve x=t+2 for t. We get t=x-2.

Substitute this into the y part of the parametric equation to get your answer.