Graphing Sinusoidal Functions

Period = _______

(Just type the number)

Mathematical Equivalence

ON

Amplitude = _____

Mathematical Equivalence

ON

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

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

What is the equation of the graph shown?

• y = 2sin(θ + π/2) + 3

• y = 3cos(θ - π/2) + 2

• y = 3sin(θ - π/2) + 2

• y = 2cos(θ + π/2) + 3

• f(x) = 3 sin x
• f(x) = 3 cos x
• f(x) = sin (3 x)
• f(x) = cos (3 x)

What is the equation of the blue graph?

• y = 2sin x

• y = sin(2x)

• y = sin(x + 2)

• y = sin x - 2

Which of the equations matches the graph shown.  

• y = 2sin(x)

• y = 2sin(2x)

• y = 2cos(x)

• y = 2cos(2x)

What is the equation of the graph?

•  y = 2 cos x

• y = sin x

• y = 2 sin x

• y = sin 2x 

What is the equation of the graph?

• y = - 6 cos x - 1

• y = 3 cos x - 4

• y = -7 cos x 

• y = -3 cos x - 4