Which of the following could be the equation of the function below?

Option C is the correct option.

Step-by-step explanation:

In the given cosine graph we can draw some parameters of the equation as below

y = a cos(bx + c) + d

1) amplitude a = (1+3)/2=2

2) Period = π

3) phase shift = -π ( to the left)

4) Vertical shift = -1 ( downwards on y-axis)

Therefore the equation of the graph will be

y = -2cos[2(x + π)] - 1

Option C is the correct answer.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

- "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."