InkLoopInkLoop/NYS Standards/NY-F.TF.5
NY-F.TF.5
Algebra IITrigonometric Functions60 target questions

Choose trigonometric functions to model periodic phenomena with specified amplitude frequency and midline.

Sample Practice Questions (3)

1
Based on the graph of the periodic function provided, what are the amplitude and the equation of the midline?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y midline
AAmplitude: 3; Midline:
BAmplitude: 2; Midline:
CAmplitude: 6; Midline:
DAmplitude: 3; Midline:
Multiple choice · diagramSee Answer + Explanation →
2
A Ferris wheel with a diameter of meters completes one full revolution every seconds. The center of the wheel is meters above the ground. If a rider starts at the lowest point of the wheel at , write a trigonometric function that models the rider height above the ground in meters.
20 m 25 m above ground
Open response · diagramSee Answer + Explanation →
3
A pendulum swings back and forth. Its horizontal displacement (in cm) from the equilibrium position is modeled by a periodic function. At , the pendulum is at its maximum rightward displacement of cm. It returns to this position every seconds. Write an equation for .
30° Pivot Equilibrium Max Swing
Open response · diagramSee Answer + Explanation →
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