Question

determine a series of transformations that would map figure a onto figure b.

Explanation:

Step1: Analyze vertical movement

The y - coordinates of Figure A are generally higher than those of Figure B. To move Figure A down to the level of Figure B, we need a translation down. The vertical distance between corresponding points of Figure A and Figure B can be determined by comparing y - values.

Step2: Analyze horizontal movement

The x - coordinates of Figure A are more negative than those of Figure B. To move Figure A to the right to the position of Figure B, we need a translation to the right.

Step3: Determine the translation amounts

By observing the graph, we can see that translating Figure A 9 units down (subtract 9 from the y - coordinates of all points of Figure A) and 11 units to the right (add 11 to the x - coordinates of all points of Figure A) will map it onto Figure B.

Answer:

A translation 11 units to the right followed by a translation 9 units down.