1. The problem is to match each given equation with its corresponding graph color based on the shape and direction of the curve. 2. The base function is $y=\sqrt{x}$, which is shown in black and curves upward to the right. 3. The equation $y=2\sqrt{x}$ stretches the graph vertically by a factor of 2, making it steeper than $y=\sqrt{x}$. This matches the green curve. 4. The equation $y=0.5\sqrt{x}$ compresses the graph vertically by a factor of 0.5, making it less steep than $y=\sqrt{x}$. This matches the orange curve. 5. The equation $y=\sqrt{-x}$ reflects the graph of $y=\sqrt{x}$ across the y-axis, so it curves upward to the left. This matches the red curve. 6. The equation $y=-\sqrt{x}$ reflects the graph of $y=\sqrt{x}$ across the x-axis, so it curves downward to the right. This matches the blue curve. Final matching: a. green: $y=2\sqrt{x}$ b. orange: $y=0.5\sqrt{x}$ c. red: $y=\sqrt{-x}$ d. blue: $y=-\sqrt{x}$