Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−3)? The graph of g(x) is the graph of f(x) translated 3 units down. The graph of g(x) is the graph of f(x) translated 3 units up. The graph of g(x) is the graph of f(x) translated 3 units right. The graph of g(x) is the graph of f(x) translated 3 units left.

Suppose sat writing scores are normally distributed with a mean of 497 and a standard deviation of 109. a university plans to award scholarships to students whose scores are in the top 2%. what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.

Suppose y varies directly with x. write a direct variation equation that relates x and y. then find the value of y when x=12 y=7 when x=3

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.