What is the equation of the translated function, g(x), if
f(x) = x2?

a. g(x) = (x – 4)2 + 6
b. g(x) = (x + 6)2 – 4
c. g(x) = (x – 6)2 – 4
d. g(x) = (x + 4)2 + 6

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.

If chord ab is congruent to chord cd, then what must be true about ef and eg?

Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of diet soda. two cans were randomly selected from this 12 pack. what is the probability that both cans were regular soda?