Question

Bippity boppity pls help me find this functions property

Answer 1

Period ⇒ 40

Amplitude ⇒ 12

Mid-line ⇒ 32

Explanation:

The table is counting by 4's and the period is the amount of space between 2 peaks. In this scenario, we can find the peaks by looking for two of the same highest value (44). We can see that x=40 has a value of 44 while the other is actually not shown because it would be located at x=0. Therefore the period is 40

The amplitude can be found by using the following:

`(1)/(2)|max - min|`

Our maximum is 44 and our minimum is 20.

`(1)/(2)|44 - 20|`

`(1)/(2)|24|`

`(1)/(2)(24)`

The amplitude is 12

The amplitude is the distance from the peak to the mid-line. To find the mid-line, we can either subtract our amplitude from our maximum value (44) or add our amplitude to our minimum value (20)

44 - 12 = 32

20 + 12 = 32

Therefore our mid-line is y = 32

~Hope this helps!~