Short Answer 
The process begins by rewriting an equation through factoring, specifically extracting the cube root of -8, which simplifies to -2. It is followed by reflecting the graph over both the x-axis and y-axis, and then applying a vertical stretch by a factor of 2 and translating it ¬Ω unit to the left for the final adjustments in shape and position.
Step 1: Rewrite the Equation
Start by factoring out the number -8 from the radicand in the given equation. This allows us to take the cube root of -8, which results in -2. This transformation will lead to a new format for the original equation where -2 is now in front of the radical symbol.
Step 2: Reflecting the Graph
After rewriting the equation, the next step involves transforming the graph. This includes two reflections:
- The first reflection is over the x-axis, which inverts the graph vertically.
- The second reflection is over the y-axis, flipping the graph horizontally.
Step 3: Stretching and Translating the Graph
Following the reflections, the graph undergoes additional transformations. First, it is stretched vertically by a factor of 2, which increases its height. Next, the graph is translated ¬¨Œ© unit to the left, shifting all points on the graph in that direction. These adjustments finalize the new graph’s shape and position.