Hello, SoYah!

A curve is parametrized by: .

(a) Write a Cartesian equation for a curve that contains the parametrized curve.

Substitute [1] into [2]: .

This is a parabola that opens to the right, vertex at (-2,0).

(b) What portion of the graph of the Cartesian equation is traced by the parametrized curve?

The parametric equations determine theupper halfof the parabola.