Suppose you want to transform the graph of the function Y = tan X+
*+)-1
1 into the graph of the function Y = -tan x+
an
+ 1
Which transformations should you perform?
Reflect the graph of the first function across the x-axis, translate it 4 units to the left, and translate it 2 units up
Reflect the graph of the first function across the x-axis, translate it 4 units to the right, and translate it 2 units up.
Reflect the graph of the first function across the line Y--1, translate it units to the left, and translate it 2 units up.
Reflect the graph of the first function across the line Y = -1, translate it units to the right, and translate it 2 units up.
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Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above