What are transformations of a function?

It's simple, think of a graph that you know how to graph for example.

we know this is just a straight line. With transformations we will be able to do the following.

• Vertical shift up
  • Raise the graph by x units up
• Vertical shift down
  • Raise the graph by x units down
• Horizontal shift left
  • Shift the graph left by x units
• Horizontal shift right
  • Shift the graph right by x units
• Compressing
• Stretching
• Reflection on the x axis
  -

• Reflection on the y axis

  In that same order this is how it would look like.