Graph y=-7sin(x)

Problem

y=−7*sin(x)

Solution

1. Identify the parent function as y=sin(x) which has a period of 2*π and oscillates between −1 and 1

2. Determine the amplitude by taking the absolute value of the coefficient of the sine function, |−7|=7

3. Identify the vertical stretch and reflection caused by the coefficient −7 The graph is stretched vertically by a factor of 7 and reflected across the xaxis.

4. Find the key points for one period [0,2*π] by multiplying the ycoordinates of the standard sine function by −7

5. Plot the points: (0,0) (π/2,−7) (π,0) ((3*π)/2,7) and (2*π,0)

6. Sketch a smooth wave passing through these points and extend the pattern in both directions.

Final Answer

y=−7*sin(x)

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