# Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 610: 46

See graph and explanations.

#### Work Step by Step

Step 1. The root function is $y=cot(x)$ which has a period of $p=\pi$ Step 2. Start from $y=cot(x)$ (shown as the green curve), shift the curve $\frac{\pi}{6}$ to the left, stretch vertically by a factor of 2, and then shift the result down 1 unit to get the red curve for $y=2cot(x+\frac{\pi}{6})-1$ See graph and explanations.

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