Question

1. part a which figure is the image of figure a after a reflection across the x - axis and a translation 4 units right?

a figure b
b figure c
c figure d
d figure e
part b which figure can be transformed into figure g after a rotation 90° about the origin, then a translation 13 units right and 4 units down?
a figure b
b figure d
c figure e
d figure f
332 6 - 4 compose transformations

Explanation:

Step1: Apply reflection rule

For a reflection across the x - axis, the rule for a point $(x,y)$ is $(x, - y)$. Then for a translation 4 units right, the rule for a point $(x,y)$ is $(x + 4,y)$. Analyze the vertices of Figure A. After reflection across the x - axis and translation 4 units right, we can see that Figure A's image is Figure D.

Step2: Apply rotation and translation rules for Part B

For a 90 - degree rotation about the origin, the rule for a point $(x,y)$ is $(-y,x)$. Then for a translation 13 units right and 4 units down, the rule for a point $(x,y)$ is $(x + 13,y-4)$. Analyze the vertices of each figure. Starting from Figure E, after the 90 - degree rotation about the origin and the given translation, we get Figure G.

Answer:

Part A: C. Figure D
Part B: C. Figure E