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y = f(x + 2)
-2 units along the x axis
y = f(x) + 2
+2 units along the y axis
y = f(x - 2)
+2 units along the x axis
y = f(x) - 2
-2 units along the y axis
y = -f(x)
reflect over x axis
y = f(-x)
reflect over y axis