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How do you find the transformation of a function?
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).
What is the transformation of a function?
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.
What is the equation for a translation?
The Rule for Vertical Translations: if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a positive value and downward when k is negative value. Here is an equation of one of the horizontal translations:, which of the graphs do you think it is?
What is the rule for a translation?
In a translation, every point of the object must be moved in the same direction and for the same distance. When you are performing a translation, the initial object is called the preimage, and the object after the translation is called the image.
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