For the function ?f(x)=(1/2)x? , state the domain and range of the transformed function.

Question 1

?y=f(x+2)?1?

Question 2

?y=?2f(x)+4?

Question 3

?y=?2f(?(x+3))?1?

Question 4

y=2*(1/2)^x-3+1

The graph of ?f(x)=4x??is transformed by a reflection in the x-axis, then a horizontal compression by a factor of 2, then a horizontal translation 3 units to the right, and finally a vertical translation of 5 units up.

Question 5

What is the equation of the transformed function?

Question 6

What is the domain and range of the transformed function?

Question 7

Describe the transformations from f(x) (the red graph) that would generate g(x) (the blue graph) below.

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