Calculus › Section K · Conics, parametric equations, and polar coordinates › Topic K.2
Plane curves and parametric equations
A single equation in x and y describes a curve, but not the journey along it. Parametric equations add a third variable, often time, so a point's full path, direction and speed become visible in the algebra.
In this topic
- One equation is not enough
- Sketching by plotting points
- Eliminating the parameter
- Worked example: eliminating a parameter
- Watch what elimination loses
- Worked example: a thrown ball
- Choosing your own parameter
- Where parametric curves appear
- Common mistakes to avoid
- Key takeaways
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Standards: 9 (BC)