1. **State the problem:** We are given two functions, $f(x)$ and $g(x)$, graphed as a blue decreasing line and a red upward-opening parabola, respectively. We need to find the points where the two graphs have the same $y$-value. 2. **Analyze the graph:** The graphs intersect at approximately the points $(0,4)$ and $(2,0)$, meaning $f(0) = g(0)$ and $f(2) = g(2)$. 3. **Check the options:** - Option 1: $f(0) = g(0)$ and $f(2) = g(2)$ — matches the intersection points. - Option 2: $f(2) = g(0)$ and $f(0) = g(4)$ — does not match. - Option 3: $f(2) = g(0)$ and $f(4) = g(2)$ — does not match. - Option 4: $f(2) = g(4)$ and $f(1) = g(1)$ — does not match. 4. **Conclusion:** The correct points where the two graphs have the same $y$-value are at $x=0$ and $x=2$, so the answer is option 1. **Final answer:** $f(0) = g(0)$ and $f(2) = g(2)$