What is the cubic function for the transformation : flip over x axis, move left 3 and up 5

Cubic Function Form:

y=

However here we only need ax^3 and +d

ax^3 makes the graph wider or skinnier or reflects it if negative.

So the first coefficient will be negative since we want to reflect it along the x axis

To move left three we will have to add 3 to the ax^3 giving us something like (x+3)^3

To move up 5 we set our y intercept (the +d part) to d=5.

Combing everything together gives us (x+3)^3+5

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

- "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."