The height, h , in feet of a ball suspended from a spring as a function of time, t , in seconds can be modeled by the equation h is equal to 3 sine open paren pi over 2 times open paren t plus 2 close paren close paren plus 5 Which of the following is the graph of this equation?
Answer
A
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 10 and is labeled Time. The vertical axis goes from 0 to 10 and is labeled Height. Points start at (0 comma 8) and fall to (4 comma 2). The points rise to (8 comma 8), and rise back to (10 comma 4).
B
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 8 and is labeled Time, in seconds. The vertical axis goes from 0 to 20 and is labeled Height, in inches. Points start at (0 comma 10) and rise to (2 comma 16). The points fall to (6 comma 4), and rise back to (9 comma 16).
C
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 10 and is labeled Time, in seconds. The vertical axis goes from 0 to 10 and is labeled Height, in inches. Points start at (0 comma 4 point 5) and fall to (1 comma 2). The points rise to (3 comma 8), and rise back to (5 comma 2). The points rise to (7 comma 8), and fall to (9 comma 2). Then the points go up.
D
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 10 and is labeled Time. The vertical axis goes from 0 to 10 and is labeled Height. Points start at (0 comma 5 point 5) and rise to (1 comma 8). The points fall to (3 comma 2), and rise to (5 comma 8). The points fall to (7 comma 2), and rise to (9 comma 8). Then the points go down.