Graph y=sin(-x)

Problem

y=sin(−x)

Solution

1. Identify the parent function as y=sin(x) which is an odd function.

2. Apply the odd function identity sin(−θ)=−sin(θ) to rewrite the expression.

3. Rewrite the equation as y=−sin(x)

4. Determine the transformation, which is a reflection of the parent sine graph across the xaxis (or the yaxis, as they result in the same graph for this specific function).

5. Plot the key points for one period [0,2*π] (0,0) (π/2,−1) (π,0) ((3*π)/2,1) and (2*π,0)

6. Sketch the smooth periodic wave passing through these points.

Final Answer

y=−sin(x)

Want more problems? Check here!