Pls !
a sine function has the following key features:
period = 4π
amplitude = 3
midline: y = 2
y-intercept: (0,2)
the function is 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.

The sin function is

Step-by-step explanation:

Given :

A sine function has the following key features:

Period = 4π

Amplitude = 3

Midline: y = 2

y-intercept: (0,2)

The function is a reflection of its parent function over the x-axis.

To plot the graph :

Solution :

General form of sin function is

Where A is the amplitude

C is the midline  

Substitute the given key features

A=3 , C=2

The sin function is  

The function is a reflection of its parent function over the x-axis.

i.e, The coordinate became (x,y)→(x,-y)

The sin function is

Now, We plot the graph of the sin function.

The graph is attached below.

First point is midline i.e, (0,2)

Maximum point is

Minimum point is

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.