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

Question

Mathematics

Edith Mercer

29 April, 07:15

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

+2

Answers (1)

Know the Answer?

Kaia Woodward · Answer 1

Y = X^2 - 4X + 9

Step-by-step 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