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Describe how to obtain the graph of the transformed function below from its parent function.

y=-1/2(x+1)^3-5

A.
The parent function y=x^3 is vertically shrunk by a factor of 1/2, reflected over the x-axis, shifted 1 unit to the left, and shifted 5 units down.
B.
The parent function y=x^3 is reflected over the x-axis, shifted 1 unit to the right, and shifted 5 units down.
C.
The parent function y=x^3 is vertically shrunk by a factor of 2, reflected over the x-axis, shifted 1 unit to the left, and shifted 5 units up.
D.
The parent function y=x^3 is vertically stretched by a factor of 1/2, reflected over the y-axis, shifted 1 unit to the right, and shifted 5 units down.

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Luv2Teach
The answer is A.  The negative sign out front flips the function upside down (over the x axis), the +1 inside the parenthesis shifts it to the left one unit and the -5 moves it down 5 units.

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