Question

A sine function has the following key features:

Period = 4

Amplitude = 4

Midline: y = 1

y-intercept: (0, 1)

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

Use the Desmos graph tool to graph the function. 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.

Answer 1

Period = 4 ... y = sin(π/2 x)
Amplitude = 4 ... y = 4sin(π/2 x)
Midline: y = 1 ... y = 1 + 4sin(π/2 x)
y-intercept: (0, 1) ... no change, since sin(0) = 0
y not reflected in x-axis. duh. That would be -sin(x)
Of course, you could change things up a bit and use cosine instead of sine.
Graph both versions and see which one you like.