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# Graphing $y=\frac{1}{x}$ and its Transformations

1. 1
Graph $y=\frac{1}{x}$, then graph the following: $$y=\frac{1}{x+4}+5$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
2. 2
Graph $y=\frac{1}{x}$, then graph the following: $$y=\frac{-1}{x-5}+6$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
3. 3
Graph $y=\frac{1}{x}$, then graph the following: $$y=\frac{2}{x-7}-5$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
4. 4
Graph $y=\frac{1}{x}$, then graph the following: $$y=\frac{-2}{x-3}+4$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
5. 5
Graph $y=\frac{1}{x}$, then graph the following: $$y=\frac{3}{x-6}+2$$ a) State the domain and range of the transformed graph.
b) State all the transformations.

$$e=mc^2$$