171370
AssignmentMultiple Choice

Graphing Parametric Equations

Question 171370 • Precalculus

Which parametric equations represent (x + 1)2 + (y – 3)2 = 16?

Answer
A
x = 8cos(t) – 1 and y = 8sin(t) + 3
B
x = –cos(t) + 8 and y = 3sin(t) + 8
C
x = 4cos(t) – 1 and y = 4sin(t) + 3
D
x = –cos(t) + 4 and y = 3sin(t) + 4

Explanation

The equation describes a circle centered at (−1, 3) with radius √16 = 4. A circle with that center and radius is parametrized by x = −1 + 4cos(t) and y = 3 + 4sin(t), which matches choice C.

AI-written and checked against the verified answer.

Previous
Next