Answer:
The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is 
.
The domain of the function is all real numbers and its range is between -4 and 5.
The graph is enclosed below as attachment.
Step-by-step explanation:
Let be 
the base formula, where 
is measured in sexagesimal degrees. This expression must be transformed by using the following data:
(Period)
(Minimum)
(Maximum)
The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of 
radians. In addition, the following considerations must be taken into account for transformations:
1) must be replaced by 
. (Horizontal scaling)
2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:
3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)
The new function is:
Given that , and , the outcome is:
The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.
Answer:
-10y + 10.5
Step-by-step explanation:
5 - 2y + (-8y) + 5.5
5 - 2y - 8y +5.5
-10y + 10.5
Answer:
what do you need help with?
Step-by-step explanation:
The paragraph to show the comparision between two classes semester grades on the basis of the terms
- extremes
- quartiles
- medians
- ranges
is given below:
<h3>What is Box and Whisker plots?</h3>
A box and whisker plot is defined as a graphical method of displaying variation in a set of data.
From the first figure, write all the values where dark point is drawn
53, 62, 80, 86, 89
- The lower extreme is the smallest value, which is 53.
The upper extreme is the highest value, which is 89.
- The median will be the middle of data , which is 80
- The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.
The upper quartile is 86 and the lower quartile is 62.
= Highest - Lowest
=89-53
=36
From the second figure, write all the values where dark point is drawn
56, 62, 74, 89, 96
- The lower extreme is the smallest value, which is 56.
The upper extreme is the highest value, which is 96.
- The median will be the middle of data , which is 74.
- The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.
The upper quartile is 89 and the lower quartile is 62.
= Highest - Lowest
=96-62
=34
From the above discussion,
- The First class have less upper extreme value than the second class.
- The First class have less lower extreme value than the second class.
- The First class have greater median than the second class.
- The First class have less upper quartile than the second class.
- The First and second class have equal lower quartile.
- The First class have greater range than the second class.
The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.
learn more about box and whisper plot here:
brainly.com/question/11859288
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Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
Step-by-step explanation:
