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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.
Start with parentheses (look for possible horizontal shift) (This could be a vertical shift if the power of x is not 1.) Deal with multiplication (stretch or compression) Deal with negation (reflection) Deal with addition/subtraction (vertical shift)
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.
0:12 6:59 Suggested clip Math Tricks & Tips : Remembering the transformation matrix without YouTubeStart of suggested client of suggested clip Math Tricks & Tips : Remembering the transformation matrix without
2:01 6:59 Suggested clip Math Tricks & Tips : Remembering the transformation matrix without YouTubeStart of suggested client of suggested clip Math Tricks & Tips : Remembering the transformation matrix without
90-Degree Counterclockwise Rotation Rule. When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
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