The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.
<h3>Which translations maps f(x) to g(x)?</h3>
The equation given in the task content is as follows;
It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.
Remarks:
The complete question requires that the transformations from f(x) to g(x) be identified.
Read more on transformations;
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Since, the variance calculated on 34 scores is equal to 14.94.
We have to determine the standard deviation.
Relationship between Variance and standard deviation is:
Standard deviation = 
Substituting the value of Variance, to evaluate the standard deviation.
We get,
Standard deviation = 
= 3.865
= 3.87
Therefore, the standard deviation is 3.87
If they're asking for the nth term, you should use n in your formula, ie.,
a(n) = 6000 * 0.5ⁿ
However, the first term is when n=1, so your formula should really be:
a(n) = 6000 * 0.5⁽ⁿ⁻¹⁾
Then the 8th term is 46.875
The pi root of 10,470 is approximately 321.457
