3. A quadratic function can be used to describe the parabola formed by the path of a football that is kicked from ground level and hits the turf 60 m downfield. The ball reaches a maximum height of 10 m. The scale on the graph represents distance in metres, and the origin (0, 0) is the kickoff point. The x-axis represents the distance downfield, and the y-axis represents the height of the ball. (NOTE: You do not have to create a graph to answer this question.)
a. What is the axis of symmetry of the graph?
b. What are the coordinates of the vertex of the graph?
c. What are the x-intercepts?
d. What will be the value of 'c' in the standard form of the quadratic formula describing the trajectory of the football?
e. What is an appropriate domain for the function in this situation?
f. What is an appropriate range for the function in this situation?