Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function.

Answer:

To determine the transformation of the parent function, first rewrite the given function by factoring − 8 −8 from the radicand. Taking the cube root of − 8 −8 allows you to place − 2 −2 in front of the radical symbol, which makes it easier to see the transformations. Compared to the parent cube root function, the graph is reflected over both the x-axis and the y-axis due to the negative factors. It is also vertically stretched by a factor of 2, making it steeper than the parent function. Finally, the graph is translated 1 2 2 1 ​ unit to the left, shifting it slightly along the x-axis. This rewritten form allows you to clearly identify all the transformations applied to the parent function