Explanation
To solve the given parametric equation
First, we are given the given equation:
[tex]x=\frac{1}{3y}[/tex]
And then
[tex]y=t+2[/tex]
The first step will be to substitute y =t+2 into the equation
[tex]x=\frac{1}{3(t+2)}[/tex]
Simplifying further, we will have
[tex]x=\frac{1}{3t+6}[/tex]
[tex]x=\frac{1}{3t+6}[/tex]
The parametric equation of x is
[tex]x=\frac{1}{3t+6}[/tex]
The graph is given as
