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# Graphing (Alg 2)

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1. A sine function has the following key features:

Frequency = 18π

Amplitude = 6

Midline: y = 3

y-intercept: (0, 3)

The function is not a reflection of its parent function over the x-axis.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

2.

A sine function has the following key features:

Period = 4

Amplitude = 3

Midline: y=−1

y-intercept: (0, -1)

The function is not a reflection of its parent function over the x-axis.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Thanks much for your help. I don't know these ones.

Feb 9, 2018

#1
+1

1. A sine function has the following key features:

Frequency = 18π

Amplitude = 6

Midline: y = 3

y-intercept: (0, 3)

We have the following form

y = Asin (Bx)  + C

The  A  is the amplitude = 6

To find B...we need to realize that the frequency is  1 / period...so....

Period   =   1 / [ 18 pi ]

And  B  =   2pi / period  =    2pi / (1/18 pi)  =  36

And  C   =  the midline value  = 3

So.....the function  is

y  =  6sin (36x) + 3

See the graph here :  https://www.desmos.com/calculator/whvopdsf3l   Feb 9, 2018
#2
+1

2.

A sine function has the following key features:

Period = 4

Amplitude = 3

Midline: y=−1

y-intercept: (0, -1)

Like the last one...  y  = Asin(Bx) + C

A  = 3

B =   2pi/ period   =  2pi/4  = pi/2

C    = -1

So the function is  :

y  = 3sin ((pi/2) x)  - 1

See the graph here :   https://www.desmos.com/calculator/5vmmbdaoac   Feb 9, 2018