Suppose f(x) = x. Find the graph of f(x+2).Click on the correct answer.graph 1graph 2Click on each graph to enlarge it.graph 3graph 4

Hello!The answer is:The fourth graph.Why?We are given the following equation:[tex]f(x)=x[/tex]Then, we need to find the graph of f(x+2) that will be equal to:[tex]f(x+2)=x+2[/tex][tex]y=x+2[/tex]Now, finding the x-axis interception, making "y" equal to 0, we have:[tex]0=x+2[/tex][tex]-2=x[/tex]Therefore, the x-axis interception point is located at (-2,0), it matches with the fourth graph.Now, finding the y-axis interception, making "x" equal to 0, we have:[tex]y=x+2[/tex][tex]y=0+2=2[/tex]Therefore, the y-axis interception point is located at (0,2), it matches with the fourth graph.Hence, we have that the graph of f(x+2) is the fourth graph since the second graph function cuts the x-axis at -2 and the y-axis at 2.Have a nice day!