Final answer:
The value of b in the sine function affects the period or length of one complete cycle of the graph.
Step-by-step explanation:
The value of b in the sine function affects the period or length of one complete cycle of the graph. When b=0.5, the period of the graph is 4. When b=2, the period of the graph is 1/10.
Generally, as b increases, the period of the graph decreases. For example, when b=0.5, the period of the graph is longer compared to when b=2.
In summary, the value of b in the sine function determines the period of the graph. A smaller value of b leads to a longer period, while a larger value of b leads to a shorter period.