Sine modeling

Owl population scatter plot

Amplitude

• max-min=number/2
• 80-20=50/2
• The amplitude is 25

Period

• last input of "X"/1=360/b
• 12/1=360/b
• period(b)=30

vertical translation

• max+min=a number/2
• 80+20=100/2
• vertical translation=50

our equation

• asin(bx+h)+k
• a is your amplitude
• b is your period
• h is your horizontal translation
• k is your vertical translation

According to the equations our graph To get here you just plug your answers into the following equation
asin(bx+h)+k
*remeber to change the radians to degrees

This is desmos final model
a=25.751 c=-178.95
b=-30.065 d=50.562