What transformation to the linear parent function, f(x) = x, gives the function g(x) = x - 9?
O A. Shift 9 units right.
O B. Shift 9 units left.
O C. Shift 9 units up.
D. Vertically stretch by a factor of 9.

D. Horizontal stretch by a factor of 3.

Step-by-step explanation:

I hope this helps! :D

Shift 9 units right

Step-by-step explanation:

- "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."

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval