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Transformation of Functions
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Flashcards
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f(x) horizontal stretch by a factor of 0.5 and reflection over the y-axis
f(-2x)
f(x) vertical stretch by a factor of 2
f(2x)
f(x) vertical shift down 6 units
f(x) - 6
f(x) vertical compression by a factor of 1/2 and shift down by 3 units
f(x)/2 - 3
f(x) vertical shift up 5 units
f(x) + 5
f(x) horizontal shift left 4 units
f(x + 4)
f(x) vertical shift up 7 units and reflection over the x-axis
-f(x) + 7
f(x) reflection over the x-axis and horizontal shift left by 5 units
-f(x + 5)
f(x) vertical stretch by a factor of 3 and vertical shift up by 4 units
3f(x) + 4
f(x) reflection over the y-axis
f(-x)
f(x) vertical compression by a factor of 1/3
f(x)/3
f(x) vertical compression by a factor of 1/3 and vertical shift down by 2 units
f(x)/3 - 2
f(x) reflection over the y-axis and vertical stretch by a factor of 2
2f(-x)
f(x) horizontal shift right 3 units
f(x - 3)
f(x) reflection over the x-axis
-f(x)
f(x) horizontal compression by a factor of 1/2
f(2x)
f(x) horizontal stretch by a factor of 4 and shift right by 2 units
f((x - 2)/4)
f(x) rotation 180 degrees about the origin
-f(-x)
f(x) horizontal stretch by a factor of 3
f(x/3)
f(x) horizontal compression by a factor of 1/4 and horizontal shift right 2 units
f(4(x - 2))
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