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

- 1Graph $y=\frac{1}{x}$, 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. - 2Graph $y=\frac{1}{x}$, 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. - 3Graph $y=\frac{1}{x}$, 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. - 4Graph $y=\frac{1}{x}$, 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. - 5Graph $y=\frac{1}{x}$, 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.

$$e=mc^2$$