Question

The parametric form of the ellipse \( 4(x + 1)^2 + (y - 1)^2 = 4 \) is:

• A. \( x = \cos \theta - 1, \, y = 2\sin \theta - 1 \)
• B. \( x = 2\cos \theta - 1, \, y = \sin \theta + 1 \)
• C. \( x = \cos \theta - 1, \, y = 2\sin \theta + 1 \)
• D. \( x = \cos \theta + 1, \, y = 2\sin \theta + 1 \)
• E. \( x = \cos \theta + 1, \, y = 2\sin \theta - 1 \)

Hint:

In parametric forms, the constant terms are the coordinates of the center, and the coefficients of the trig functions are the lengths of the semi-axes.

Answer 1

The Correct Option is C