4. Shifting, Reflecting, and Stretching Graphs
Sign In
Rigid Transformations of the Graph of f(x) | |
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Vertical Shifts | Vertical shift k units upward, k>0 y=f(x)+k |
Vertical shift k units downward, k>0 y=f(x)-k | |
Horizontal Shifts | Horizontal shift h units to the right, h>0 y=f(x-h) |
Horizontal shift h units to the left, h>0 y=f(x+h) | |
Reflections | Reflection in the x-axis y=- f(x) |
Reflection in the y-axis y=f(- x) |