What is the shape of the graph of the following parametric equations?

Question

x = 3 cos t and y = 2 sin t + 1

A. circle
B. ellipse
C. hyperbola
D. parabola

Answer 1

B. ellipse

The parametric equations x = 3 cos t and y = 2 sin t + 1 represent an ellipse. This can be visualized by plotting several points for different values of t and seeing how they form an ellipse shape.