Write a function for the graph described as a transformation of .
1. experiences a vertical stretch of factor 2 and then a shift right of 3 units.: y = 2(x-3)^2
2. experiences a shift left by 2 units, then a horizontal shrink of factor , then a shift down of 5 units.:
3. experiences a shift to the right 1 unit, is stretched vertically by a factor of , then is shifted down 4 units.:
4. is reflected across the x-axis, stretched vertically by a factor of 3, and shifted left 7 units.

Question

Write a function for the graph described as a transformation of  .
1.	   experiences a vertical stretch of factor 2 and then a shift right of 3 units.: y = 2(x-3)^2
2.	   experiences a shift left by 2 units, then a horizontal shrink of factor , then a shift down of 5 units.:
3.	   experiences a shift to the right 1 unit, is stretched vertically by a factor of  , then is shifted down 4 units.:
4.	   is reflected across the x-axis, stretched vertically by a factor of 3, and shifted left 7 units.