#### Answer

The gives in (a) and (c) pass through $(1,4)$.

#### Work Step by Step

(a) the curve $(t^2,t+1)$ passes through the point $ (1, 4)$ at $t=1$.
(b) the curve $(t^2,t-3)$ does not pass through the point at $ (1, 4)$.
(c) the curve $(t^2,3-t)$ passes through the point $ (1, 4)$ at $t=-1$.
(d) the curve $(t-3,t^2)$ does not pass through the point at $ (1, 4)$.