Properties of the transformation of the graph:
1) shift right by a unit.
2) shift left by a unit.
3) shift upward by b units.
4) shift downward by b units.
5) graph stretched expand vertically if and compressed vertically if
a) For graph
Translate by 2 units left and expand vertically by 2 units then shift it down by 3 units you get
b) For graph
Translate by 3 units left and expand vertically by 2 units then shift it down by 2 units you get
The graph of all functions are shown in below: