1. **State the problem:** We have a shape with points at approximately $(-3,-1)$, $(4,-1)$, and $(5,1)$. We need to apply two transformations: first translate 4 units left and 3 units up, then reflect over the line $y=0$ (the x-axis). 2. **Translation step:** Translation moves every point by adding the translation vector to the coordinates. Here, translate 4 units left means subtract 4 from the x-coordinate, and 3 units up means add 3 to the y-coordinate. 3. **Apply translation to each point:** - For $(-3,-1)$: $$(-3 - 4, -1 + 3) = (-7, 2)$$ - For $(4,-1)$: $$(4 - 4, -1 + 3) = (0, 2)$$ - For $(5,1)$: $$(5 - 4, 1 + 3) = (1, 4)$$ 4. **Reflection step:** Reflection over $y=0$ changes the sign of the y-coordinate, so $(x,y)$ becomes $(x,-y)$. 5. **Apply reflection to translated points:** - $(-7, 2)$ becomes $(-7, -2)$ - $(0, 2)$ becomes $(0, -2)$ - $(1, 4)$ becomes $(1, -4)$ 6. **Final coordinates of the blue points after both transformations:** $(-7,-2)$, $(0,-2)$, and $(1,-4)$. This completes the transformations as requested.