This question is based on your work on MU123 up to and including Unit 10. (a) This part of the question concerns the quadratic equation 5x- - 21r + 29 = 0. (i) Find the discriminant of the quadratic expression 5x- - 21r + 29. (ii) What does this discriminant tell you about the number of solutions of the equation? Explain your answer briefly. (iii) What does this discriminant tell you about the graph of 1 = 5x2 - 21x + 297(b) Figure 1 shows part of the graph of the quadratic function y= r - 4r -45. (-5.0 (9.0) Figure 1 (i) Explain why the graph of the quadratic function y =12 -4r - 45 is u-shaped. (ii) Write down the y-intercept. (iii) Find the equation of the axis of symmetry of the parabola given by y= x- - 4r - 45, explaining your method. (iv) Use your answer to part (b) (iii) to find the coordinates of the vertex of the parabola given by y =22 - 4x - 45