Question

Reflections as Functions Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Select the rule that maps Figure A onto Figure B . (1 point) Responses ry−axis r subscript y axis baseline rx=0 r subscript x equals 0 baseline ry=0 r subscript y equals 0 baseline R90° upper R subscript 90 degrees baseline Skip to navigation page 14 of 14

Answer 1

To determine the rule that maps Figure A onto Figure B, we need to consider transformations, specifically reflections.

1. Reflections:
   • \( r_{y-axis} \) reflects over the y-axis.
   • \( r_{x=0} \) reflects over the y-axis as well.
   • \( r_{y=0} \) reflects over the x-axis.
   • \( R_{90^\circ} \) is a rotation of 90 degrees.

If you're examining the images of Figure A and Figure B:

• If Figure A is reflected to the left of the y-axis to create Figure B, then the correct rule would be \( r_{y-axis} \).
• If Figure A is reflected over the x-axis to create Figure B, then the correct rule would be \( r_{y=0} \).
• If there was a rotation instead, then the rotation rule applies.

Please check the specific shapes and positions of Figures A and B in the image you referenced to conclude which rule applies. If you are able to see the image, you would select the reflection that matches the transformation from Figure A to Figure B. If it's a reflection over the y-axis, choose \( r_{y-axis} \). If reflected over the x-axis, choose \( r_{y=0} \). If it does not match those situations, consider the rotation option.