Question

A sine function has the following key features:

Period = 12

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 sine 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

The sine function for the given parameters is y = 4 sin ( pi/2 * x ) + 1. The period is 12, the amplitude is 4, the midline is y = 1 and the y-intercept is (0, 1). The function is not a reflection of its parent function over the x-axis.

Explanation:

To solve a sine function with the given features, one must first identify the midline, amplitude, period, and phase shift of the function. The midline is the average of the maximum and minimum values of the graph, while the amplitude is half of the difference between these two values. The period is the length of one cycle in radians, and the phase shift is how much it has been shifted from its parent function over the x-axis.