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.
+128406 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
+128406 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
