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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.

 May 15, 2020
 #1
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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)

 

cool cool cool

 May 15, 2020
 #2
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thank you for always helping me!! i appreciate it lots.

Guest May 19, 2020

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