The graph of a trigonometric function oscillates between y=1 and y=-7. It reaches its
maximum at x=pi and its minimum at x=3pi. Which of the following could be the equation of the function?

y = 4 sin(½ x) − 3

Step-by-step explanation:

The function is either sine or cosine:

y = A sin(2π/T x) + C

y = A cos(2π/T x) + C

where A is the amplitude, T is the period, and C is the midline.

The midline is the average of the min and max:

C = (1 + -7) / 2

C = -3

The amplitude is half the difference between the min and max:

A = (1 − -7) / 2

A = 4

The maximum is at x = π, and the minimum is at x = 3π.  The difference, 2π, is half the period.  So T = 4π.

Plugging in, the options are:

y = 4 sin(½ x) − 3

y = 4 cos(½ x) − 3

Since the maximum is at x = π, this must be a sine wave.

y = 4 sin(½ x) − 3

the answer is x equals 50, this is because the two angles are the same measurements because they are vertical angles. in corresponding angles, vertical angles are two angles with one diagonally above another. those two angles will be the same measurements.

110 - 10 = 100

100 / 2 = 50

x   = 50

110 = 2(50) + 10 = 110

110 = 110

can u give brainliest if i'm correct?

yep

step-by-step explanation: