Each statement describes a transformation of the graph of f(x) = 3x. Which statement correctly describes the graph of g(x) = 3(x - 5) + 4? A. The graph of g(x) is the graph of f(x) translated up 4 units and left 5 units. B. The graph of g(x) is the graph of f(x) translated down 5 units and left 4 units. C. The graph of g(x) is the graph of f(x) translated down 5 units and right 4 units. D. The graph of g(x) is the graph of f(x) translated up 4 units and right 5 units.The population of a small town, P, as a function of time, t, in years past 1940 is given below.P = 3,236 + 275tFor which of the following years was the population of the town 9,836? A. 1974 B. 1934 C. 1964 D. 1924
Accepted Solution
A:
Answer:DStep-by-step explanation:We start with f(x) = 3x.The graph of this function is a straight line thru the origin with slope 3.The graph of g(x) = 3(x - 5) is the translation of the previous graph of 5 units to the right.The graph of h(x) = 3(x - 5) + 4 is the translation of the previous graph 4 units up.This matches Answer D.