SOLUTION: A portion of a roller coaster ride resembles a sinusoid. The top hill of the coaster is at a point (100, 250). The lowest point immediately follows the hill, and it occurs at (200,

Algebra ->  Trigonometry-basics -> SOLUTION: A portion of a roller coaster ride resembles a sinusoid. The top hill of the coaster is at a point (100, 250). The lowest point immediately follows the hill, and it occurs at (200,      Log On


   

Question 1170028: A portion of a roller coaster ride resembles a sinusoid. The top hill of the coaster is at a point (100, 250). The lowest point immediately follows the hill, and it occurs at (200, 50). Assuming all measurements are in feet, what is the amplitude of the sinusoid? What is the vertical shift of the sinusoid from one at ground level?
Answer by greenestamps(13200) About Me  (Show Source):
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The maximum height is 250; the minimum is 50. That makes the center line at 150.

The amplitude of the sinusoid is the difference between the center line and either the maximum or minimum, so in this example the amplitude is 100.

The vertical shift is the difference between the center line and zero, which in this example is 150.