Parametric Equations Worksheet with Answer Key

What's on the worksheet

1. Make a table for x = t² - 3, y = t³ - 3t at t = -2, -1, 0, 1, 2, and sketch the curve for -2 ≤ t ≤ 2 with arrows showing its orientation.
2. Mateo runs a camera dolly along a straight track on a film set.
3. Describe the curve x = -1 + 4 t, y = 2 + 4 t for 0 ≤ t ≤ 3π2.
4. Amara punts a football.
5. Elena jogs on a circular path of radius 60 meters around a pond.
6. 1 2 3 4 5 6 7 1 2 3 4 5 x y t = 0 The figure shows an ellipse traced once as t runs from 0 to 2π.
7. Layla graphs x = t², y = t² + 1 for -1 ≤ t ≤ 2.