A banner measures 5.4 feet long.
1 answer:
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Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
- (0,0).
- (1,-4).
- (2,-2).
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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Answer:
The function that models the scenario is given as follows;
Step-by-step explanation:
The table of values are presented as follows;
The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5
The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100
Imputing the given functions from the options into Microsoft Excel, and
solving using the given values of the variable, t, we have;
P t A B C D
10 0
10
10
10
10
16 1
16.07021 16.27604 16.34583
16.38095
26 2
25.43466 26.2797 26.574 26.72363
42 3
39.33834 41.89929 42.82868 43.30901
66 4
58.85058 65.51853 68.09014 69.45316
100 5
84.17395 99.55866 106.0177 109.5721
Therefore, by comparison, the function represented by most accurately models the scenario.