SOLUTION: Describe all transoformations that apply to the function y=3(x-4)^3 + 7 compared to the parent function y=x^3. I know the function would shift right 4 and up 7 but wasn't sure what

Question 1194279: Describe all transoformations that apply to the function y=3(x-4)^3 + 7 compared to the parent function y=x^3. I know the function would shift right 4 and up 7 but wasn't sure what transformation the 3 would cause.
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.
Describe all transformations that apply to the function y=3(x-4)^3 + 7
compared to the parent function y=x^3.
I know the function would shift right 4 and up 7
but wasn't sure what transformation the 3 would cause.
~~~~~~~~~~~~~~~~~~

The transformations are (in this order)


    (1)  translation of the parent function plot 4 units right (horizontally);

    (2)  stretching along the y-axis with coefficient 3;

    (3)  translation 7 units up (vertically).

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