Answer:
f(x) = (x +6)^3 +4
Step-by-step explanation:
f(x -h) +k is the function f(x) translated by (h, k). You want to translate the function by (-6, 4), so it will be ...
f(x +6) +4 = (x+6)^3 +4
The translated function is ...
f(x) = (x +6)^3 +4
f(x) = x^3 +18x^2 +108x +220 . . . . . . with parentheses eliminated
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The graph shows the two versions of the translated function. One is dashed so you can see the other has the same graph.
Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.
<h3>How to find the correlation coefficient of a data-set?</h3>
Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
- The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.
Hence, using a calculator, the correlation coefficient is of -0.9422.
More can be learned about correlation coefficients at brainly.com/question/25815006
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The best answer to go with is c
