Ross Stanley
02/09/2023 · Primary School
Sketch the graph of the basi \( y=5 \tan (x-\pi / 3) \)
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To graph \( y = 5 \tan(x - \pi / 3) \), shift the standard tangent function \( y = \tan(x) \) to the right by \( \pi / 3 \) and vertically stretch it by a factor of 5. The graph will have vertical asymptotes at \( x = \frac{5\pi}{6} \) and \( x = \frac{11\pi}{6} \), and it will pass through the point \( \left(\frac{\pi}{3}, 0\right) \).
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