Consider the following. hm = t2 6t + 9 (a) Find all real zeros of the polynomial function. [Enter your answers as a comma-separated list. If there is no solution, enter ND SOLUTION.) (b) Determine the multiplicity of each zero. (c) Determine the maximum possible number of turning points of the graph of the function. : turning point{s) (cl) Use a graphing utility to graph the function and verify your answers. (d) Use a graphing utility to graph the function and verify your answers. h(t) 10y h(t) 10 5/ -5 5 t -5 5 -5/ -5/ O -104 O -104 h(t) 10 h(t) 10 54 - t -5 5 - t -5 5 -5/ -5 O -10 O -104Use a graphing utility to graph the quadratic function. g (x) = = (x2 + 4x - 2) g(X 10/ g(X) 10 5 -10 -5 - X 5 10 -10 -5 - X 5 10 -5 -5 O -10 O -10 g(X 10/ g(X) 10- 5/ 5 -10 -5 . X 5 10 -10 -5 - X 5 10 -5 -5 O -10 OIdentify the vertex, axis of symmetry, and x-intercept(s). Then check your results algebraically by writing the quadratic function in standard form. (If an answer does not exist, enter DNE. vertex (x, g(x)) = axis of symmetry x-intercept (x, g(x) ) = (smaller x-value) x-intercept (x, g(x) ) = (larger x-value) standard form g(x) =