On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. Which rule describes the translation?
(x, y) --> (x - 5, y - 3)
(x, y) --> (x + 5, y + 3)
(x, y) --> (x - 3, y - 5)
(x, y) --> (x + 3, y + 5)

The random variable x has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 show that k = 2/9 find 2 e(x), 3 the mode of x, 4 the cumulative distribution function f(x) for all x. 5 evaluate p(x ≤ 2.5). 6 deduce the value of the median and comment on the shape of the distribution.