#1**+2 **

**find parametric equation for rectangular equation:**

**y = x^2 - 4x + 7**

\(\begin{array}{|lcll|} \hline \text{ $y = x^2 - 4x + 7$ is a rectangular equation. }\\ \text{Find a set of parametric equations for the equation } y = x^2 - 4x + 7 \\\\ \text{Solution }: \\ \text{Assign any one of the variable equal to $t$ . (say $x = t$ ). } \\ \text{Then, the given equation can be rewritten as $y=t^2 - 4t +7$ .}\\ \text{Therefore, a set of parametric equations is $x = t$ and $y=t^2 - 4t +7$. }\\ \hline \end{array} \)

heureka
Jan 23, 2018