Vertical shifts do change where the sine and cosine functions sit on the graph, but they don’t change how the functions look. Let’s break it down simply:

• What are Vertical Shifts?
  Vertical shifts happen when you add or take away a number from the function. For example, in the equation $y = \sin(x) + 2$, the graph moves up by 2 units.

• Shape Stays the Same:
  Even with vertical shifts, the height (amplitude), how long it takes for one complete wave (period), and any sideways moves (phase shift) don’t change at all.

• Imagine It:
  Picture $y = \sin(x)$ as a wave. A vertical shift just moves that wave up or down. The wave itself doesn’t get squished or stretched!

So, even though the graph shifts position, its main features stay just the same!