Question

Which rectangular equation corresponds to this set of parametric equations? x = t + 2 and y = t^2 + 3


A.

y = (x − 2)^2 − 3




B.
y = (x + 2)%2 + 3




C.
y = (x − 2)^2




D.
y = (x + 2)^2 − 3




E.
y = (x − 2)^2 + 3

Answer 1

from x=t+2 ---< t = x-2
from y = t^2 ---> t = √y

so √y = x-2
square both sides
y = (x-2)^2

which is C