Match the parametric equations with their graph. Identify the v... | Filo

In Exercises 1-4, match the parametric equations with their graph. State the approximate dimensions of the viewing window. Give a parameter interval that traces the curve exactly once. x=sin^3 t, y=cos^3 t | Numerade

Graphs of Parametric Equations

Parametric functions describe how two or more quantities change together as they depend on a third variable, called a parameter. Instead of writing one variable directly in terms of another, like y = f(x), we express both x and y in terms of a separate variable t. For example, x = f(t) and y = g(t). As t changes, the pair (x, y) moves along a path, forming a curve. This method is useful because it can represent shapes and motions that are hard to describe with a single equation, such as circles,