1. The problem is to write an equation for a graph that starts near the point $(5,0)$ on the x-axis and curves upward to the right. 2. This shape suggests a function that is defined for $x \geq 5$ and increases as $x$ increases. Common functions with this behavior include logarithmic functions shifted right or square root functions shifted right. 3. A square root function shifted right by 5 units has the form: $$f(x) = \sqrt{x - 5}$$ This function is defined for $x \geq 5$ and starts at $(5,0)$. 4. A logarithmic function shifted right by 5 units has the form: $$f(x) = \log(x - 5)$$ This function is also defined for $x > 5$ and increases slowly. 5. Since the curve starts near $(5,0)$ and curves upward like a square root, the best fit is: $$f(x) = \sqrt{x - 5}$$ 6. Therefore, the equation for the graph is: $$f(x) = \sqrt{x - 5}$$