Graphing Equations in the Standard Form

• y = 3 cos 2/3 x

• y = 3 sin 2/3 x

• y = cos 3x

• y = 3 cos 3x

y=Asin(B(x-C))+D is the standard form. A is the Amplitude B helps you find the period, B=2pi/period C is the phase shift D is the midline (vertical shift) For y=3sin(2(x-5))+4,

• 4

• B, helps calculate period

• 3

• C, phase shift

• 2

• A, amplitude

• 5

• D, midline

What is the amplitude and period of the function: y= 2/5sin9x

• Amplitude: 2/5 Period: 2π/9

• Amplitude: 2/5 Period: π/6

• Amplitude: 5/2 Period: 2π/9

• Amplitude: 5/2 Period: π/6

What is the equation of graph?

• y = sin 5x

• y = cos 5x

• y = 5 sin x

• y = 5 cos x

The 4 key features that we'll use for sine/cosine graphs are

M: ​ (a)   ​

A: ​ (b)  

P: ​ (c)  

PS:​ (d)  

• midline

• amplitude

• period

• phase shift

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 blue graph?

• y = 2sin x

• y = sin(2x)

• y = sin(x + 2)

• y = sin x - 2

What is the equation of the graph?

Match the following

• Graph 1

• Graph 3

• Graph 4

• Graph 2