Calgary Board of Education CBe-Learn Page 1 of 2 Mathematics 20-2 Assignment #3: Quadratic Equations [16] Show all calculations and reasoning in your answers. You must use methods taught in this course to receive full marks for your answers. Include units where appropriate and round answers as directed in each question. 1. Solve x2 + 7x + 10 = 0 by graphing. Label the intercepts as coordinate pairs. [2] Solutions: x = X = 2. Solve 2w2 + 4w - 30 = 0 by factoring. Learn [2] Solutions: X = X= 3. Solve p2 - 196 = 0 by factoring. [2] Solutions: X = X = 4. Solve 4x2 + 4x - 5 using the quadratic formula. Express your answers as fully simplified radicals. [3] Solutions: X = X = CBe-Learn | 2022Calgary Board of Education CBe-Learn Page 2 of 2 5. State the number of zeros f (x) = (x - c)2 + d has ifd > 0. Include a sketch in your answer. [1] . Nadine dives with a senior swim club. In a dive off a 10 m platform, she reaches a maximum height of 10.5 m after 0.35 seconds. a) Sketch a graph of the function that models Nadine's dive. [1] b) Determine the quadratic function that models this scenario, in vertex form. [2] c) State how long it takes her to reach the water, to the nearest tenth of a second. [1] d) Write the domain and range for the situation. [2] CBe-Learn | 2022