3.6 Combination of Transformations Notes_Alg1
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Mathematics
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9th Grade
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Hard
Sheryl Luoma
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4 Slides • 2 Questions
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3.6 Combination of Transformations Notes_Alg1
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Combining Transformations
The functions we typically work with involve multiple transformations from its parent function. Use the transformation rules we have talked about previously to describe all the transformations.
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Graph f(x) = x and g(x) = -2x + 3. Describe the transformations from f(x) to g(x).
Since f(x) = x we can rewrite g(x) as g(x) = -2f(x) + 3
Look for the transformations that occurred.
f(x) was multiplied by a -2 which represents two transformations...
vertical stretch by a factor of 2 and a
reflection over the x-axis
3 was also added to f(x) which is a....
vertical translation up 3 units
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Multiple Choice
f(x) = x
g(x) = 4x - 5
Describe the transformations from f(x) to g(x).
vertical shrink by a factor of 4
vertical translation up 5 units
vertical shrink by a factor of 4
horizontal translation right 5 units
vertical stretch by a factor of 4
vertical translation down 5 units
vertical stretch by a factor of 4
horizontal translation left 5 units
6
Multiple Choice
f(x) = x
g(x) = −41x+2
Describe the transformations from f(x) to g(x).
Vertical shrink by a factor of - 1/4
Vertical translation up 2 units
Vertical shrink by a factor of 1/4
Reflection over the x-axis
Vertical translation up 2 units
Vertical stretch by a factor of 1/4
Reflection over the x-axis
vertical translation up 2 units
Vertical stretch by a factor of -1/4
horizontal translation left 2 units
3.6 Combination of Transformations Notes_Alg1
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