1. **State the problem:** We need to find the sequence of transformations that takes figure A with vertices approximately at $(4,-5)$, $(5,-5)$, $(5,-3)$ to figure B with vertices approximately at $(3,4)$, $(5,4)$, $(5,2)$. 2. **Analyze the transformations:** The options are: rotate 90° counterclockwise about the origin, reflect across the y-axis, translate 6 units left. 3. **Check rotation 90° counterclockwise about the origin:** The rotation formula is $$ (x,y) \to (-y,x) $$ Apply to vertex $(4,-5)$: $$ (4,-5) \to (-(-5),4) = (5,4) $$ Apply to vertex $(5,-5)$: $$ (5,-5) \to (-(-5),5) = (5,5) $$ Apply to vertex $(5,-3)$: $$ (5,-3) \to (-(-3),5) = (3,5) $$ These points are close to figure B's vertices but not exact. 4. **Check reflection across the y-axis:** The reflection formula is $$ (x,y) \to (-x,y) $$ Apply to vertex $(4,-5)$: $$ (4,-5) \to (-4,-5) $$ This does not match figure B's vertices. 5. **Check translation 6 units left:** The translation formula is $$ (x,y) \to (x-6,y) $$ Apply to vertex $(4,-5)$: $$ (4,-5) \to (4-6,-5) = (-2,-5) $$ This does not match figure B's vertices. 6. **Combine transformations:** Since rotation alone almost matches figure B but with a slight difference, check if a translation after rotation matches exactly. Rotate 90° CCW then translate 1 unit left: For $(4,-5)$: rotate to $(5,4)$ then translate to $(5-1,4) = (4,4)$ which is close but not exact. 7. **Conclusion:** The best match is the rotation 90° counterclockwise about the origin, which maps figure A to figure B approximately. **Final answer:** The sequence of transformations is **rotate 90° counterclockwise about the origin**.