Parametric Curves

There's not much that's different about parametric curves compared to regular coordinates.

Example: Let's look at the curve $x=t, y=t^2+2$.

It's really just $y=x^2+2$... nothing special here.

Another example: $x=2t+3, y=10t-3$.

This is actually $y=5x-18$ in disguise... The reason is that $(10t-3)=5(2t+3)-18$.

Now you try one!

Solution: We have $y=9t^2+12t+6=(3t+2)^2+2=x^2+2$.