Which of these could be the transformation? Choose all that are correct. A reflection across the line x = 1
A reflection across the line y = 1
A translation 2 units to the left, and then a reflection across the y -axis
A translation 2 units to the right, and then a reflection across the y -axis
A reflection across the y -axis, and then a translation 2 units to the right
A rotation of 180° about the point (1,4)

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."