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State the order and type of each transformation of the graph of the function
ƒ(x) = (5(x – 1))3 – 2 as compared to the graph of the base function.


right 1 unit, vertical stretch by a factor if 5, down 2 units



right 1 unit, down 2 units, vertical stretch by a factor if 5

Respuesta :

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The base function is [tex]y=x^3[/tex].

1 step: when translating graph of the base function 1 unit right, you obtain the graph of function [tex]y=(x-1)^3[/tex].

2. 2 step: if you vertically stretch the graph of the function  [tex]y=(x-1)^3[/tex] by a factor  5, then you obtain the graph of function [tex]y=5(x-1)^3[/tex].

3. 3 step: translating graph of the function [tex]y=5(x-1)^3[/tex] 2 units down you receive the graph of the function [tex]y=5(x-1)^3-2[/tex].

Answer: the correct choice is A.





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