Graph f(x)=-sin(x)

Problem

ƒ(x)=−sin(x)

Solution

1. Identify the parent function y=sin(x) which has a period of 2*π an amplitude of 1 and passes through the origin (0,0)

2. Determine the transformation, which is a reflection across the xaxis due to the negative sign in front of the function.

3. Plot the key points for one period [0,2*π] by negating the yvalues of the standard sine wave: (0,0) (π/2,−1) (π,0) ((3*π)/2,1) and (2*π,0)

4. Sketch a smooth wave passing through these points and extend the pattern in both directions to show the periodic nature of the function.

Final Answer

ƒ(x)=−sin(x)

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