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transformations
-f(x) | reflects over x axis |
f(-x) | reflects over y axis |
f(x)+1 | shifts up 1 unit |
f(x)-1 | shifts down 1 unit |
f(x+2) | shifts left 2 units |
f(x-2) | shifts right 2 units |
2f(x) | vertical stretch by factor of 2 |
1/2f(x) | vertical compression by factor of 1/2 |
f(2x) | horizontal compression by factor of 1/2 |
f(1/2 x) | horizontal stretch by factor of 2 |