The translated function g(x) is written by the formula
g(x) = (x + 4)³ + 6
How to analyze the transformation
The sequence of transformation that results to the image is as follows
g(x) = (x)³: parent function
g(x) = (x + 4)³ : This is translation of 4 units to the left
g(x) = (x + 4)³ + 6: This is translation of 6 units up
Combining the translation results to the image as graphed