A parametric equation uses a third variable, often time t, to determine x and y independently.
To find the direct relationship between x and y (the rectangular equation), solve for t in one equation and substitute it into the other.
Trigonometric functions create circular paths. Equations of the form and draw a circle of radius R.
Drag the orange handles on the graph to match the target circle.
A projectile's horizontal (x) and vertical (y) positions change differently over time. Gravity only affects y.
You've successfully controlled curves using time, eliminated parameters to find equations, built circles, and modeled projectile motion.