The function y = 2(x + 3)^3 - 4 has been vertically stretched by a factor of 2, shifted 3 units to the left, and moved down 4 units compared to the parent function y = x^3.
The function y = 2(x + 3)^3 - 4 compared to the parent function y = x^3 undergoes several transformations. The vertical stretch of 2 means that the graph is stretched vertically upward in the coordinate system, doubling the y-values of the parent function. When we see x + 3, it implies a shift horizontally to the left side of the coordinate system by 3 units. Lastly, the -4 at the end of the function indicates that the graph is shifted vertically downward in the coordinate system by 4 units.
Therefore, the correct transformations are:
- A) Vertical Stretch of 2
- B) Left 3 units
- D) Down 4 units