Answer: 
Step-by-step explanation:
To find the midpoint, you use the formula
.
The points are (-2,-1) and (4,-2).
[add]
[divide]

Now, we know the midpoint is
.
The definition of a system is a set of rules, an arrangement of things, or a group of related things that work toward a common goal. An example of a system are the laws and procedures of a democratic government. An example of a system is the way someone organizes their closet.
First lets look at our graph of y = cos x
***First picture***
Next lets look at a <span>vertical stretch.
***Second picture***
To vertically stretch y = cos x, we need to multiply cos by a number greater than 1. I am going to use 2.Standard Form: y = cos x
(Red Line)Vertical Stretch: y = 2 cos x
(Blue Line)Lets look at a vertical shrink***Third picture***
To create a vertical shrink, you multiply the cos by a number less than 1. I am going to use .5</span>
Standard Form: y = cos x
(Red Line)Vertical Shrink: y = .5 cos x
(Green Line)Now lets look at horizontal stretch.
***Forth picture.***
To create a horizontal stretch, you multiply the x by a value less than 1. I am going to use .5Standard Form: y = cos x
(Red Line)Vertical Stretch: y = .5 cos x
(Orange Line)Finally, to create a horizontal shrink, you multiply the x by a value greater than 1. I am going to use 2.***Fifth picture.***
Standard Form: y = cos x
(Red Line)Vertical Shrink: y = 2 cos x
(Purple Line)
Answer:
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Step-by-step explanation: