What is the function g(x) created from f(x) = x2 by moving the graph right 4 units, vertically stretching it by a factor of 7, and shifting the graph down 6 units? A) g(x) = 4(x + 7)2 + 6 B) g(x) = 7(x − 4)2 + 6 C) g(x) = 6(x + 4)2 + 7 D) g(x) = 7(x − 4)2 − 6

Aclassmate thinks that solving a system by graphing gives an exact answer when the lines appear to cross at a grid point, but only an approximate answer when they don't. explain why this isn't true.

Given the diagram below, michael writes, "segment ac is congruent to segment ac." which of the following reasons allow him to write this statement?

Juanita wade's new car has an msrp of $28,902.11 including title and processing fees. the premier package which includes surround sound and dvd player costs three times the amount of the in-style package which includes leather seats and select wheels. the total cost of her new car was $34,290.08 which included the 6.5% sales tax. find the cost of the premier package to the nearest cent.