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Given graph represent the graph of  g(x) = [tex]-x^{2} (x -2)[/tex] Given,In the question;The equation is:g(x) = - [tex]x^{2} (x -2)[/tex] or h(x) = [tex]x^{2} (x -2)[/tex] To find the is this the graph of g(x) or h(x).Graph is given in the figure.Now, According to the question;g(x) = [tex]-x^{2} (x -2)[/tex]        and      h(x) = [tex]x^{2} (x -2)[/tex]g(x) = 0                                    h(x) = 0[tex]-x^{2} (x -2) = 0[/tex]                         [tex]x^{2} (x -2)[/tex] = 0x = 0, 2                                    x = 0, 2If we put x = 1 then,g(1) = [tex]-(-1)^2(1-2)[/tex]     and   h(1) = [tex](1)^2(1-2)[/tex]g(1)  =  -1 (-1)                          h(1) = 1(-1)g(1)   = 1                                 h(1) = -1But as shown in graph, graph take positive value at x = 1∴Given graph is the graph of g(x) = [tex]-x^{2} (x -2)[/tex]Hence, Given graph represent the graph of  g(x) = [tex]-x^{2} (x -2)[/tex] Learn more about Graph at:https://brainly.com/question/10712002#SPJ1