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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).
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. Moving the function down works the same way. F (x) b is f (x) moved down b units.
How To: Given the equation of a linear function, use transformations to graph the linear function in the form f(x)=MX+b f (x) = m x + b. Graph f(x)=x f (x) = x. Vertically stretch or compress the graph by a factor |m|. Shift the graph up or down b units.
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