Question

Eliminate the parameter x = t - 3, y = t2 + 5

Answer 1

x=t-2 imply t=x+2
and hence y=t^2+5=(x+2)^2+5
imply x^2+4x+9-y=0

Answer 2

Thank you @jango_IN_DTOWN but the answers are
a.y = x2 + 6x + 14
b.y = x2 - 14
c. y = x2 - 6x - 14
d.y = x2 + 14

Answer 3

oh sorry it is x=t-3 so t=x+3
and hence y=t^2+5=(x+3)^2+5=x^2+6x+14

Answer 4

a. is correct..:)

Answer 5

Thank you @jango_IN_DTOWN