Mathematics Assignment: Quadratic Equations, Trigonometry & Geometry

This mathematics assignment covers a range of topics including quadratic equations, trigonometry, and geometry. The first question explores the properties of a quadratic equation representing the trajectory of a tennis ball, including finding intercepts, the axis of symmetry, the vertex, and sketching the parabola. The second question focuses on solving quadratic equations using the quadratic formula and completing the square, analyzing the discriminant, and finding the vertex. The third question delves into trigonometry, involving the sine and cosine rules to solve triangles, calculating angles, and finding areas, including converting between degrees and radians. The fourth question applies trigonometric principles to a real-world scenario involving distances and angles. The final question involves analyzing a student's incorrect attempt at a problem and providing a correct solution, emphasizing the application of the sine and cosine rules and right-angle triangle properties.