SOLUTION: By translation, graph y=sin(x-&#960;/6) for 0 <= x <= 2&#960;. Label all with coordinates intercepts and the peak and the valley.

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By translation, graph y=sin(x-π/6) for 0 <= x <= 2π. Label all with coordinates intercepts and the peak and the valley.
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The graph is a sine curve shifted (pi/6) to the right.
sin(x) has a x-intercept at (0,0), so sin(x-(pi/6) has a
x-intercept when x-(pi/6) = 0, or at x = pi/6.
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The y-intercept occurs when x = 0, or when y = sin(-(pi/6)) = -1/2
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Cheers,
Stan H.