A sine function has the following key features:
Period = 4π
Amplitude = 2
Midline: y = 3
y-intercept: (0, 3)
The function is 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.
+128408 A sine function has the following key features:
Period = 4π
Amplitude = 2
Midline: y = 3
y-intercept: (0, 3)
The function is 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.
In the form
y = Asin (Bx) + c
A= the amplitude = 2
B = 2pi / period = 2pi / [ 4pi] = (1/2)
C = the value of the midline = 3
If this function is a reflection of its parent function over the x axis, the parent function must be :
y = -2sin ( (1/2) x) - 3
So....our function is
y = 2sin ( (1/2) x ) + 3
See the parent and the reflected function, here : https://www.desmos.com/calculator/5o7wtmtgsb
