1. **State the problem:** We are given the function $c(x) = \sqrt{4x + 1}$ and a graph with points including $(0,1)$ that matches this function. We want to confirm or rewrite the equation to match the graph. 2. **Recall the function:** The function is a square root function of the form $c(x) = \sqrt{4x + 1}$. 3. **Check the point $(0,1)$:** Substitute $x=0$ into the function: $$c(0) = \sqrt{4(0) + 1} = \sqrt{1} = 1$$ This matches the point on the graph. 4. **Interpret the function:** The function $c(x) = \sqrt{4x + 1}$ means the output is the square root of $4x + 1$. As $x$ increases, $4x + 1$ increases, so the function increases. 5. **Rewrite the function if needed:** The function already matches the graph description, so the equation is: $$c(x) = \sqrt{4x + 1}$$ **Final answer:** $$c(x) = \sqrt{4x + 1}$$