Parametric Equations

Flashcards covering key concepts and definitions related to parametric equations.

Parametric Curve

A curve whose coordinates x and y are both dependent variables given as functions of a third independent variable t, called a parameter.

Eliminating the Parameter

Rewriting two parametric equations as a single equation relating the variables x and y to better understand the graph of a curve.

Tangent Line in Parametric Equations

To find the tangent line of a parametric curve at a specific point, you utilize slopes and the Parametric Derivative Formula.

Point Slope Form

An equation of the form y - y₁ = m(x - x₁), used to define a line based on a point and slope.

Parametric Derivative Formula

A formula used to find the slope of the tangent line for parametric equations, where x and y are functions of the parameter t.

Initial and Terminal Points

Points on a parametric curve defined by the parameter values t=a (Initial Point) and t=b (Terminal Point).