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Consider the general quadratic function f(x) = ax" + bx + c, with a #0. a. Find the coordinates of the vertex in terms of a, b, and c. b. Find the conditions on a, b, and c that guarantee that the graph of f crosses the x-axis twice. a. The coordinates of the vertex are (Type an ordered pair.) b. Find the conditions on a, b, and c that guarantee that the graph of f crosses the x-axis twice. Choose the correct answer below. O A. b + 4ac>0 O B. c - 4ac> 0 O C. b - 4ac > 0 OD. c' + 4ac> 0Let E be an even function and O be an odd function. Determine the symmetry, if any, of the following function. E . O Choose the correct answer below. O A. Symmetry about the y-axis O B. Symmetry about the origin O C. Symmetry about the x-axis O D. No symmetryDetermine an appropriate domain of the function. Identify the independent and dependent variables. A stone is thrown vertically upward from the ground at a speed of 70 m/s at time t= 0. Its distance d (in m) above the ground (neglecting air resistance) is approximated by the function f(t) = 70t - 5t-. An appropriate domain is. (Simplify your answer. Type your answer in interval notation.) The independent variable is and the dependent variable is