# Thread: Sketch the graph of y=3sin2x+1

1. ## Sketch the graph of y=3sin2x+1

Sketch the graph of $\displaystyle y=3sin2x+1$ for $\displaystyle 0<x<\frac{3}{2}\pi$

then,using the same axes,sketch the suitable straight line to find the number of solutions for the equation $\displaystyle {3\pi}sin2x=2x$ for $\displaystyle 0<x<\frac{3}{2}\pi$.State the number of solutions..

2. Originally Posted by mastermin346
Sketch the graph of $\displaystyle y=3sin2x+1$ for $\displaystyle 0<x<\frac{3}{2}\pi$

then,using the same axes,sketch the suitable straight line to find the number of solutions for the equation $\displaystyle {3\pi}sin2x=2x$ for $\displaystyle 0<x<\frac{3}{2}\pi$.State the number of solutions..
Note the obvious first, the amplitude is 3. The graph has a period of 2pi/2=pi rad and it stops at 3pi/2. Then, move the graph up by one unit.

Draw y=2x+1 to obtain the number of solutions.

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# plot a graph of y=3sin2x 1

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