Final answer:
The calculator function typically used to find the x-intercepts and vertex of a parabola is graphing and analysis of the quadratic function.
Step-by-step explanation:
The calculator function typically used to find the x-intercepts and vertex of a parabola is option D: graphing and analysis of the quadratic function. This involves plotting the quadratic function on a graphing calculator and analyzing the shape and key features of the graph. The x-intercepts of the parabola can be determined by finding the points where the graph intersects the x-axis, while the vertex can be found using the maximum or minimum point of the graph.