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.
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.
Answers
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.
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.