Modeling with Sinusoidal Functions Review

Period = _______

(Just type the number)

Mathematical Equivalence

ON

Amplitude = _____

Mathematical Equivalence

ON

Midline = ______

Mathematical Equivalence

ON

period = ______

Mathematical Equivalence

ON

y=_____

Mathematical Equivalence

ON

Amplitude = _____

Mathematical Equivalence

ON

Plot EACH point that hits the max, min, or midline.

Use desmos to find your answer.

_______ days

Mathematical Equivalence

ON

L(t)=amplitude*sin(B(x-phase shift))+midline

Amplitude = ​ (a)  

Period = ​ (b)  

B = ​ ​ (c)  

Phase shift = ​ (d)  

Midline = ​ (e)  

• 5
• 2
• π
• 0
• 7
• 10
• 2π/2
• .5
• 1
• 12

WRITE YOUR ANSWERS DOWN because you'll be graphing this equation on the next screen.

Given h(x)=Asin(B(x-C))+D,

Amplitude = ​ (a)  

Period = ​ (b)  

Phase shift = ​ (c)   units ​​ (d)  

Midline ​ (e)  

• 4
• 8
• 3
• left
• 2
• right
• π/4
• 3π/4

Answer explanation

Remember:

If your equation only has ONE set of parentheses AND a phase shift, then the equation is

h(x)=Asin(Bx-BC)+D,

and to find your phase shift, you have to do BC/B