1. **State the problem:** We need to graph the square root functions and find their domain and range. 2. **Recall the general form:** The square root function is $y = \sqrt{x} + c$, where $c$ shifts the graph vertically. 3. **Domain:** For $y = \sqrt{x} + c$, the domain is $x \geq 0$ because the square root is defined only for non-negative $x$. 4. **Range:** The range depends on $c$. Since $\sqrt{x} \geq 0$, the minimum value of $y$ is $c$. So the range is $y \geq c$. 5. **Analyze each function:** - For $y = \sqrt{x} - 1$: - Domain: $x \geq 0$ - Range: $y \geq -1$ - For $y = \sqrt{x} + 3$: - Domain: $x \geq 0$ - Range: $y \geq 3$ - For $y = \sqrt{x} + 6$: - Domain: $x \geq 0$ - Range: $y \geq 6$ - For $y = \sqrt{x} - 4$: - Domain: $x \geq 0$ - Range: $y \geq -4$