Which sequence of transformations takes figure b to its image b'?
a. a reflection in the y-axis, followed by a translation 6 units up
b. a reflection in the x-axis, followed by a translation 2 units left
c. a reflection in the x-axis, followed by a counterclockwise rotation of 180 about the origin
d. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Step-by-step explanation:

Well, the first obvious step is to reflect it across the y-axis. Now, for the next step, since we do not have a 90°-clockwise rotation option, we have to go with something similar to that, which would be a 270°-counterclockwise rotation. If you think about it, since 3 × 90 is 270, and rotating this figure 90° clockwise [one rotation] would go from Quadrant III to Quadrant II, going the other way around [270°counterclockwise (three rotations)] will also go from Quadrant III to Quadrant II [to Quadrant to Quadrant I to Quadrant II].

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c

step-by-step explanation:

answer:

c) the x-coordinate of the center of the circle increases by 3