Graph a sine function whose amplitude is 3, period is 4π , midline is y = 2, and y-intercept is (0,2) . The graph is not a reflection of the 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.

Can someone help me graph this?

Jazminfun0128182 Jan 29, 2019

#1**+1 **

We have the form

y = Asin (Bx + C) + D

A= the amplitude = 3

B can be found as follows

B = 2pi / period = 2pi / 4pi = 1/2

C = phase shift.....there is none..so...C = 0

D = shift up/down.....the midline for the normal sine function would be y = 0

So....this is shifted up 2 units since the midline is y = 2

So....the function is

y = 3sin ( [ 1/2] x) + 2

Here's the graph :

CPhill Jan 30, 2019