Question

The graph shows a trigonometric function.

Answer 1

Check the picture below.

the period is the repeating section that's looping over and over.

Answer 2

Answer:

The period of the function is __2__, the amplitude of the function is __2__ and the mid-line of the function is y=__3__

Step-by-step explanation:

Period: The period of the function is repeat their path in fixed interval.

Amplitude: It is height of a function from middle line.  

Middle line: It is mid value of maximum and minimum of function.

Let function start from the point (0,5) which is maximum value of function. Now, we will see next maximum value of function. In graph, next maximum at (2,5)

From (0,5) to (2,5). The value of x changes 0 to 2

Thus, The period of function is 2

Maximum of function = 5

Minimum of function = 1

Middle line = Average of 5 and 1 = 5+1 over 2 = 3

Middle line: y=3

Amplitude = 5-3 = 2

Hence, The period of the function is 2, the amplitude of the function is 2 and the mid-line of the function is y=3.