Return to Assignments Addition and subtraction formulas

### Assignment 8

A point moves in the -plane. It moves in the -direction according to the function and in the -direction according to the function . When we have:

calculate the equation of the curve along which the point is moving.

### Solution

We know that we can write for :

Because we have:

we can write:

This is an 'opens up' parabola with top . The domain is:

and the range: