Find the coordinates of the vertex for the parabola defined by the given quadratic function. f ( x ) = -x2 +2x+5 . . .. . The vertex is (Type an ordered pair.)Determine whether the function is a polynomial function. If it is, identify the degree. h (x) = 4x4+ 6x2 + - Choose the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It is a polynomial. The degree of the polynomial is O B. It is not a polynomial.Consider the function f(x) = 2x + 12x -4. a Determine, without graphing, whether the function has a minimum value or a maximum value. b . Find the minimum or maximum value and determine where it occurs. Identify the function's domain and its range. ..... a. The function has a value b. The minimum/maximum value is it occurs at x - c. The domain of f is (Type your answer in interval notation.) The range of fis (Type your answer in interval notation.)Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of Q symmetry. Use the parabola to identify the function's domain and range. f ( x ) = ( x - 2 ) 2 + 6 Use the graphing tool to graph the equation. Use the vertex and the y-intercept when drawing the graph. Click to enlarge graph The axis of symmetry is (Simplify your answer. Type an equation.) Identify the function's domain. The domain is (Type the answer in interval notation.) Identify the function's range. The range is (Type the answer in interval notation.)