The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) Write the formula of the function, where x is entered in radians.

 y = -8sin(1/3)π x + 2

Step-by-step explanation:

The equation of a cosine function is:    y = A cos(Bx - C) + D    where

Midline (D) = 2

(0, 2) is given as a point on the midline.  We only need the y-value.

Horizontal stretch (B) = (1/3)π

The min is located at (3,-6) --> x = 3  which is half of the Period.  Thus the period (length of one wave) is 3·2 = 6 units.

Phase Shift (C) = 0

The midline is on the y-axis so there is no horizontal shift.

Amplitude (A) = 7

The distance from the min to the midline is: A = -6 - 2 = -8

Equation

Input A = -8, B = (1/3)π, C = 0, and D = 2 into the sine equation.

            y = A sin(Bx - C) + D

            y = -8sin((1/3)π x - 0) + 2

            y = -8sin(1/3)π x + 2

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m