Question

which transformation would take figure a to figure b?

Explanation:

Step1: Observe x - coordinates

The x - coordinates of corresponding points of Figure A and Figure B increase by 4. For example, if a point in Figure A has x - coordinate $x_1$, the corresponding point in Figure B has x - coordinate $x_2=x_1 + 4$.

Step2: Observe y - coordinates

The y - coordinates of corresponding points of Figure A and Figure B increase by 8. For example, if a point in Figure A has y - coordinate $y_1$, the corresponding point in Figure B has y - coordinate $y_2=y_1+8$.

Answer:

A translation 4 units to the right and 8 units up.