The next few questions provide another variation of the interplay between algebra and geometry. Simple algebraic modifications have simple effects on the graph. Adding to x shifts the graph left or right, adding to y shifts it up or down, multiplying x rescales it horizontally, and multiplying y rescales it vertically. These effects can of course be combined.
Relative to the graph of \[ y=x^3 \] the graphs of the following equations have been changed in what way?

1. \(y=x^3+5\)
2. \(y=(x^3)/5\)
3. \(y=5x^3\)
4. \(y=(x-5)^3\)

A. shifted 5 units up
B. shifted 5 units right
C. compressed vertically by the factor 5
D. stretched vertically by the factor 5