MU123
Australia
The Open University
Question 1 – 20 marksThis question is based on your work on MU123 up to and including Unit 10.The trajectory of a tennis ball after it is struck can be modelled by the quadratic equationy = −x2 8+11x 8+3 2,where y represents the height in metres of the tennis ball above the ground, and x represents the horizontal distance in metres of the ball from the position where it was struck. Assume that the surface of the tennis court is horizontal. (a) The graph of y = − x2 8 + 11x 8 + 3 2 is a parabola. (i) Is the parabola u-shaped or n-shaped? How can you tell this from the equation? [1] (ii) Use algebra to ?nd the x-intercepts