Use a graphing utility to select the graph of the function.Include two full periods.
Y = -2 sin (2x + π)

Question

Use a graphing utility to select the graph of the function.Include two full periods. ​
Y = -2 sin (2x + π)
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Quizplus · Accepted Answer

Using a graphing utility (such as Desmos or GeoGebra), we can graph the function y = -2sin(2x + π) by entering it as y = -2*sin(2x + pi). Here is the resulting graph with two full periods:

The graph starts at its maximum value (-2) when sin(2x + π) = 1, which occurs at x = -3π/4, -π/4, 5π/4, and 7π/4. The graph reaches its minimum value (2) when sin(2x + π) = -1, which occurs at x = -π/4, 3π/4, 7π/4, and 11π/4. The graph has a period of π, since every π-unit increase in x results in a full cycle of the sine function.

Option B shows a graph that matches this description, with two full periods of the function. Therefore, the best choice is B.

Use a Graphing Utility to Select the Graph of the Function.Include