Question

1. which transformation is shown? a reflection over the x - axis b reflection over the y - axis c 180° rotation d translation
2. describe a sequence of transformations that maps figure a onto figure b. a a translation 4 units right followed by a reflection across the x - axis b a reflection across the y - axis followed by a translation 6 units down c a 90° counter - clockwise rotation about the origin followed by a reflection across the y - axis d a reflection across the x - axis followed by a reflection across the y - axis
3. identify the transformation. a 90 rotation counter clockwise b reflection across y - axis c translation 5 units left, 1 unit up. d translation 5 units right, 1 unit down

Explanation:

Step1: Analyze question 4

In a reflection over the y - axis, the x - coordinates of the points of the figure change their signs while the y - coordinates remain the same. Looking at the figure in question 4, we can see that this is the case.

Step2: Analyze question 5

For figure A to map onto figure B, first reflecting across the y - axis changes the x - signs of the points of figure A. Then translating 6 units down moves the reflected figure to the position of figure B.

Step3: Analyze question 6

In a reflection across the y - axis, each point (x,y) is transformed to (-x,y). Looking at the figure in question 6, we can see that the shape on the right is the reflection of the shape on the left across the y - axis.

Answer:

1. B. Reflection over the y - axis
2. B. A reflection across the y - axis followed by a translation 6 units down
3. B. Reflection across y - axis