11. Constructed Response 1 & 2

Page 6a.

This graph models the height of a swinging pirate ship ride at an amusement park.

Use the graph to determine how long it takes the pirate ship to make a full swing back and forth (all the way to the right, all the way to the left and back at the center).

The animation on the slide before can help.

Page 6c & d

Using the sine and cosine parent function, find two function rule that models this situation.

Hint: Graph each on Desmos (in radian mode) and figure out which two match.

Equation

$$y=a\sin b\left(x-h\right)+k$$

a=amplitude $$\frac{2\pi}{b}=period$$ h= horizontal shift from parent k=midline