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March 6th, 2019, 09:33 AM   #1
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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?
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March 6th, 2019, 09:50 AM   #2
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desmos.com ?
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March 6th, 2019, 09:51 AM   #3
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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.
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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
File Type: jpg cotangent.jpg (18.2 KB, 1 views)
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March 7th, 2019, 07:45 AM   #5
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Originally Posted by skeeter View Post
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
Thanks! This was super helpful.
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