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# Graphing $y=|x|$ and its Transformations

1. 1
Graph $y=|x|$, then graph the following: $$y=-2|x-5|-3$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
2. 2
Graph $y=|x|$, then graph the following: $$y=|\tfrac{1}{2}(x+4)|+3$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
3. 3
Graph $y=|x|$, then graph the following: $$y=-\frac{1}{3}|2(x+4)|-6$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
4. 4
Graph $y=|x|$, then graph the following: $$y=|\tfrac{1}{2}x+2|+5$$ a) State the domain and range of the transformed graph.
b) State all the transformations.

Good test question !
5. 5
Graph $y=|x|$, then graph the following: $$y=-2|-x+4|+1$$ a) State the domain and range of the transformed graph.
b) State all the transformations.

Good test question !

$$e=mc^2$$