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>> No.11480193 [View]
File: 61 KB, 797x800, 0ddea121977895b7b20705641cfe34ae.jpg [View same] [iqdb] [saucenao] [google]
11480193

>>11480113
f(x)+a is just f(x) shifted up by a units, f(x)-a shifted down
f(x-a) is just f(x) shifted to the right by a units, and f(x+a) is shifted to the left
a*f(x) is f(x) scaled up (if a>1) by a factor of a along the vertical axis, and scaled down by that factor if a<1
f(ax) is f(x) squeezed down along the x axis if a>1, and stretched out along the x axis if a<1
f(-x) is f(x) reflected across the y axis
-f(x) is f(x) reflected across the x axis
Play with this
https://www.desmos.com/calculator/umv4b5d1fz
>>11480159
Separation of variables
>>11480168
Ah yes, the ol' MS paint proof. They will love you.
>>11479762
>biology
I had to take a "life science" so I took environmental science cuz it was easy. I should have just taken bio.
>chemistry
Two semesters of general chemistry.

>> No.11480180 [DELETED]  [View]
File: 61 KB, 797x800, 0ddea121977895b7b20705641cfe34ae.jpg [View same] [iqdb] [saucenao] [google]
11480180

>>11480113
f(x)+a is just f(x) shifted up by a units, f(x)-a shifted down
f(x-a) is just f(x) shifted to the right by a units, and f(x+a) is shifted to the left
a*f(x) is f(x) scaled up (if a>1) by a factor of a along the vertical axis, and scaled down by that factor if a<1
f(ax) is f(x) squeezed down along the x axis if a>1, and stretched out along the x axis if a<1
f(-x) is f(x) reflected across the y axis
-f(x) is f(x) reflected across the x axis
Play with this
https://www.desmos.com/calculator/umv4b5d1fz
>>11480159
Separation of variables
>>11480168
Ah yes, the ol' MS paint proof. They will love you.

>> No.11459131 [View]
File: 61 KB, 797x800, 0ddea121977895b7b20705641cfe34ae.jpg [View same] [iqdb] [saucenao] [google]
11459131

>>11459118
Spending a lot of money on college and shitposting on /sci/ in the middle of class is best.

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