Find the standard form of the equation of the parabola using the information given.
vertex: (2, -5); focus: (2, -7)

What is the distance between the points 4,10 and -3,-14 on the coordinate plane

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.

Factor this polynomial completely. x^2-8x+12