Question

In Problems 27-34, find two different parametric equations for each rectangular equation$x=\sqrt{y}$

Short answer

Two different parametric equations are$x=tandy=t^2$

Step-by-step solution

Step 1. Given Equation

$$\begin{gathered} x=\sqrt{y} \\ or \\ y=x^2 \end{gathered}$$

Step 2. Solve for getting parametric equations

Let us assume

$x=twhere-\infty <t<\infty$

Now Putting the value of $x$in the given equation, we get

role="math" localid="1647259716619" $y=t^{2}Where-\infty <t<\infty$