Answer: Graph C is the correct graph of the given function.Explanation: Since, given function [tex]f(x)= 2.{4^x}[/tex] And, if x=0 then y-intercept = [tex]2.4^0=2[/tex] Therefore, graph must be passes through point (0,2).(y-intercept)And, if y=0 then x=-2 therefore, x-intercept is (-2,0)But first, second and forth graph do not having the above x and y-intercept Therefore, first, second and forth graph can not be the graph of the above function.Here, only graph third has the same x and y-intercepts.Hence, Graph C is the correct graph of the given function.