Question

Sketch the graph of y=-2x+3sin⁡2x. Be sure to state the two equations the graph oscillates between.

Answer 1

Answer on Question # 73838 - Math - Trigonometry

Question

Sketch the graph of $y = -2x + 3\sin 2x$ . Be sure to state the two equations the graph oscillates between.

Solution

here is the graph:

Since the sin function takes values in the interval $[-1, 1]$ , then the equations of the parallel lines are:

$$y = - 2 x + 3 (- 1), \quad y = - 2 x - 3;$$ $$y = - 2 x + 3 (1), \quad y = - 2 x + 3.$$

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