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

1. 1
Graph $y=\sqrt{x}$, then graph the following: $$y=-3\sqrt{-2(x+4)}-1$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
2. 2
Graph $y=\sqrt{x}$, then graph the following: $$y=\sqrt{-\frac{1}{2}(x+3)}-4$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
3. 3
Graph $y=\sqrt{x}$, then graph the following: $$y=-2\sqrt{3x+15}-4$$ a) State the domain and range of the transformed graph.
b) State all the transformations.

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

Good test question!
5. 5
Graph $y=\sqrt{x}$, then graph the following: $$y=-2\sqrt{3x-12}+5$$ a) State the domain and range of the transformed graph.
b) State all the transformations.
6. 6
Graph $y=\sqrt{x}$, then graph the following: $$y=-\sqrt{-(x+4)}+3$$ a) State the domain and range of the transformed graph.
b) State all the transformations.

$$e=mc^2$$