Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.

the graph of y = f(x) will shift down 11 units.

Step-by-step explanation:

When it subtracts the y it moves down

- "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."