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f (x) + b shifts the function b units upward. F (x) b shifts the function b units downward. F (x + b) shifts the function b units to the left. F (x b) shifts the function b units to the right. F (x) reflects the function in the x-axis (that is, upside-down).
There are four main types of transformations: translation, rotation, reflection and dilation.
f (x) = x2. A function transformation takes whatever is the basic function f (x) and then “transforms” it (or “translates” it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around.
f (x) + b shifts the function b units upward. F (x) b shifts the function b units downward. F (x + b) shifts the function b units to the left. F (x b) shifts the function b units to the right. F (x) reflects the function in the x-axis (that is, upside-down).
Transformations Math Definition A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation. The image is the figure after transformation.
f (x) + b shifts the function b units upward. F (x) b shifts the function b units downward. F (x + b) shifts the function b units to the left. F (x b) shifts the function b units to the right. F (x) reflects the function in the x-axis (that is, upside-down).

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