HUNTERTUTORING
← AP
Get startedBook tutoring

Common Mistakes

Open PDF

Frequent Errors

1. Plotting (t, x) or (t, y) instead of (x, y) path (4.1.A.4). 2. Connecting table points out of increasing t order (4.1.A.4). 3. Treating parametric curve as y = f(x) only. 4. Forgetting to evaluate both x(t) and y(t) at each t. 5. Ignoring restricted domain and graphing outside it (4.1.A.5). 6. Missing start/end labels when domain is closed interval. 7. Table omits t column so order is lost. 8. Technology graph without noting t-direction (4.1.A.4).

Why These Happen

Students new to parametric form reuse single-variable graph habits.

How to Fix Them

  • Always column headers: t, x, y.
  • Number plotted points in t order.
  • Evaluate endpoints t_min and t_max explicitly.

Avoidance Scripts

  • "Parameter t is not the horizontal axis in the xy-plane."
  • "Connect in time order."
  • "Domain first, then table, then graph."

Quick Self-Check

  • Did I plot (x, y)?
  • Are connections in rising t?
  • Did I mark start/end when domain is restricted?

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

Back to 4.1