Transforming Piecewise Functions

[Mjucewitz]

Homework Statement

The piece wise function is
-x-2, x<-1
x^2-3x, -1≤ x ≤5
3x+5, x>5
The problem is to transform the function with these series of transformations

• reflection in the x-axis
• Horizontal stretch by a factor of 6
  
• Translation left 3 units
• Vertical Stretch by a factor of 4

Homework Equations

The basic transformation rules for a function

The Attempt at a Solution

I was able to transform the function part, but I can not figure out how the domain is suppose to be affected by the transformations. All I have is
((2x)/3) + 20
(((-2x^2)/3)+12) + (2x+3)
-2x-8
Update: I tried my best at the domain and got:
x<12
12≤x≤48
x>48

 

[mfb]

One of the borders is x=-1. What happens if you reflect this border at the x-axis, or do one of the other operations?

 

[Mjucewitz]

One of the borders is x=-1. What happens if you reflect this border at the x-axis, or do one of the other operations?

If you were to reflect the border x = -1 over the x-axis would it not stay the same?

 

[mfb]

Right.
What happens with the other operations?