Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the functions are given as follows:
That is, g(x) = f(x - 31), hence the function was shifted <u>31 units to the right</u> and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
More can be learned about translation concepts at brainly.com/question/4521517
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Answer: Surface area = 68π inches²
Step-by-step explanation:
The formula for determining the total surface area of the circular cylindrical metallic rod is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the radius of the cylindrical rod.
h represents the height of the cylindrical rod.
π is a constant whose value is 3.14
From the information given,
Radius = 2 inches
Height = 15 inches
Therefore,
Surface area = (2 × π × 2²) + 2 × π × 2 × 15) = 8π + 60π
Surface area = 68π inches²
P = 2(L + W)
P = 136
L = 4W - 7
136 = 2(4W - 7 + W)
136 = 2(5W - 7)
136 = 10W - 14
136 + 14 = 10W
150 = 10W
150/10 = W
15 = W <=== width is 15 m
L = 4W - 7
L = 4(15) - 7
L = 60 - 7
L = 53 <== length is 53 m
