14. The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 3. Which
statement about the graphs is true?
F The graph of g is a reflection of the graph of f
across the x-axis.
G The y-intercept of the graph of g is 3 units above
the y-intercept of the graph of f.
H The vertex of the graph of g is 3 units to the left
of the vertex of the graph of f.
3 The graph of g is a reflection of the graph of f
across the y-axis.
J the graph of g is a reflection of the graph of the f across the y axis

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