A sine function has the following key features:

Frequency = 1/4π

Amplitude = 2

Midline: y = 2

y-intercept: (0, 2)

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

Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point.

1 answer

Frequency = 1/4π ==> period = 4π ... y = sin(1/2 x)
Amplitude = 2 ... y = 2sin(1/2 x)
Midline: y = 2 ... y = 2 + 2sin(1/2 x)
y-intercept: (0, 2) ... works for me.