Chapter 8 - Application of Trigonometry - 8.8 Parametric Equations, Graphs, and Applications - 8.8 Exercises - Page 829: 8

$B$

We are given that $t=2$ In order to get the values of $x$ and $y$, we need to substitute the value of $t$ in the expression of $x$ and $y$. $x=(2)^2+3=4+3=7$ and $y= (2)^2 -2 =4-2=2$ Thus, we have: $(x,y)=(7,2)$ This matches with option $B$.