Chapter 9, Problem 76RE

To determine

Draw the graph by using the parametric equation and also find whether y is a function of x.

Explanation of Solution

Given:

It is given in the question that the equations are $x=t+4,y=t^2$ .

Graph:

  

Interpretation: Here, the two equations are $x=t+4,y=t^2$ . Put that equation in the parametric graphing calculator, it gives the required graph in proper way.

Since,

  $\begin{array}{l}x=t+4\\ t=x-4\\ y=t^2\\ $ y={(x-4)}^2$\end{array}$

y is a function of x.