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 March 6th, 2019, 09:33 AM #1 Senior Member   Joined: Jan 2017 From: US Posts: 120 Thanks: 6 Graphing Graph f(θ) = -3cot(θ + 3π/4) − 1 where -π ≤ θ ≤ π Can anyone point me in the right direction with how to graph this?
 March 6th, 2019, 09:50 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,590 Thanks: 1434 Thanks from Indigo28
March 6th, 2019, 09:51 AM   #3
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Quote:
 Originally Posted by romsek
I use desmos all the time, and find it super helpful. But I need to actually graph it myself for my math class and I don't know how.

March 6th, 2019, 11:36 AM   #4
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Quote:
 Graph f(θ) = -3cot(θ + 3π/4) − 1 where -π ≤ θ ≤ π
start with the basic graph of $y = \cot{\theta}$ (see attached) and do the transformations ...

1. horizontal shift to the left $\dfrac{3\pi}{4}$

2. reflection over the x-axis and vertical stretch by a factor of 3

3. vertical shift down 1
Attached Images
 cotangent.jpg (18.2 KB, 1 views)

March 7th, 2019, 07:45 AM   #5
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Quote:
 Originally Posted by skeeter start with the basic graph of $y = \cot{\theta}$ (see attached) and do the transformations ... 1. horizontal shift to the left $\dfrac{3\pi}{4}$ 2. reflection over the x-axis and vertical stretch by a factor of 3 3. vertical shift down 1

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