Which equation represents the transformation of f(x) = |x| when effected by a vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units? g(x) = 1/3|x−4|+2

g(x) = 1/3|x+4|−2

g(x) = 3|x−4|+2

g(x) = 3|x+4|+2

The key on a road map has a scale factor of 1.5 inches = 50 miles. the distance between santa fe and albuquerque measures 7.5 inches. the distance between santa fe and taos is 0.75 inches. what is the actual distance between the cities?

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?

The equation ip| = 2 represents the total number of points that can be earned or lost during one turn of a game. which best describes how many points can be earned or lost during one turn?