What transformation produce the graph of g(x)=5^(-x+2) from the graph of the parent function f(x)=5^x? select all that apply.
a. reflection over the x-axis
b. reflection over the y-axis
c. horizontal shift to the left 2 units
d. horizontal shift to the right 2 units
e. vertical shift up 2 units
f. vertical shift down 2 units.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.