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The function f(x) = 2x is transformed to g(x) = 2x – 3. What type of transformation has occurred? O Rotation Vertical translation, down 3 un
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The function f(x) = 2x is transformed to g(x) = 2x – 3. What type of transformation has occurred? O Rotation Vertical translation, down 3 units , Vertical translation, up 3 units Reflection
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Mathematics
3 years
2021-08-19T09:58:53+00:00
2021-08-19T09:58:53+00:00 1 Answers
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Answer:
down 3 units
Step-by-step explanation:
f(x) + n – vertical translation n units up
f(x) – n – vertical translation n units down
f(x + n) – hrizontal translation n units to the left
f(x – n) – hrizontal translation n units to the right
-f(x) – reflection across x-axis
f(-x) – reflection across y-axis
We have f(x) = 2x and g(x) = 2x – 3 = f(x) – 3.
Thefore it’s vertical translation 3 units down.