Question

Rewrite the parametric equation X equals T +2 and Y EEquals T squared +5 In the rectangular form by eliminating the parameter T

Answer 1

Y = X^2 -4X +9

Explanation:

It is convenient to write T in terms of X.

X = T +2

T = X -2

Then this can be substituted into the equation for Y.

Y = T^2 +5

Y = (X -2)^2 +5 = X^2 -4X +4 +5

Y = X^2 -4X +9