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Question
From the curve y = sin x, graph the function.
y = sin(− x)
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Solution
y = sin x
| x | 0 | `pi/2` | π | `3 pi/2` | 2π | `- pi/2` | – π | `- 3 pi/2` | – 2π |
| y | 0 | 1 | 0 | – 1 | 0 | – 1 | 0 | 1 | 0 |
y = – sin x
| x | 0 | `pi/2` | π | `3 pi/2` | 2π | `- pi/2` | – π | `- 3 pi/2` | – 2π |
| y | 0 | – 1 | 0 | 1 | 0 | 1 | 0 | – 1 | 0 |
The graph of y = sin (– x) is the reflection of the graph of y = sin x about y-axis.
The graph of y = f(– x) is the reflection of the graph of y = f(x) about y-axis.
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