a)
b)
c)
d)
e)
f)
1. [7A] Josh is enjoying a ride on a swing. His height above the ground during the ride is modeled by the
equation, h(t) = -50cos 120x+100, where h(t) is his height above the ground, in cm, and t is the time,
in seconds, since he began swinging.
Height above
the ground (cm) 180-
160-
140-
120-
100-
80-
60
40-
20-
State the amplitude of the function. What does it represent in this scenario? ✓
State the period of the function. What does it represent in this scenario? ✓
State the axis of the curve of the function. What does it represent in this scenario?
Use your graph to estimate when Josh is 150 cm above the ground?
What is Josh's height above the ground after 10 seconds on the swing?
How would the equation and graph change if it took 1 second to complete one full swing? ✓
How would the equation and graph change if the swing was farther off the ground? ✓
6
Time
(seconds)