(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

The basic transformation rules for a function

3. 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

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# Homework Help: Transforming Piecewise Functions

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