Points (3,2) and (7,2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true? I. The graphs of f and g have the same axis of symmetry. II. The graphs of f and g have the same x-intercepts. III. The graph of fhas a maximum point, and the graph of g has a minimum point. IV. The graph of f is the result of a reflection of the graph of g across the x-axis. A I only B II only C II and IV D I and III
C) II and IV
The x-intercepts of f and g are the same since they both contain the points (3,2) and (7,2).
The graph of f is the result of a reflection of the graph of g across the x-axis because they open in opposite directions.