10. Parametric Functions

Question 1

Parametric equations

x = x(t), y = y(t)

Answer 1

…Can be used to locate a particle on the plane at various times t.

t – “parameter”

Question 2

Parametric equation of a circle

Answer 2

x = h + r•cos(t) y = k + r•sin(t)

⇒

(x – h)² + (y – k)² = r²