If f(x) = x^2, which of the following describes the graph of f(x) - 5?
a.) the graph of f(x) - 5 is a vertical shift of f(x) = x^2 five units up.
b.) the graph of f(x) - 5 is a horizontal shift of f(x) = x^2 five units to the left.
c.) the graph of f(x) - 5 is a vertical shift of f(x) = x^2 five units down.
d.) the graph of f(x) - 5 is a horizontal shift of f(x) = x^2 five units to the right.

What properties allow transformation to be used as a problem solving tool

Find the smallest number by which the given number should be divided to make a perfect cube(with steps or the answer will get reported) a.108 b.2187

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)?