How do you graph parametric equations?
Graph x(θ)=3cosθ,y(θ)=6sinθ, where [π,2π].
Drag a term, phrase, or value into each box to correctly complete the statements.
The graph of the parametric equations is the [ ]of an ellipse. The length of the major axis of the semi-ellipse is [ ], the length of the minor axis is [ ] , and the center is the origin. The semi-ellipse is elongated [ }.
Arrows are drawn on the semi-ellipse to indicate movement in a [ ]direction.
Look at the graph here : https://www.desmos.com/calculator/oi55ipyp9b
Bottom half of an ellipse
Length of major axis = 2(6) = 12
Length of the minor axis = 6
It is elongated vertically
It moves in a counter-clockwise direction.....to see this....when theta = pi we are at (-3, 0)
When theta is = 2pi, we are at (3,0)
And we move from left to right on the ellipse ( counter-clockwise)