Al Assessment + Quadratics Part I Please complete each question on soparato paper. Be sure to show your work for full marks. 1. A football was thrown in the air. Its path can be modelled by the relation yo -5x* + 25x + 1.5 where y is the height of the football in metres and x is the time in doconds. al Complete a table of values for the values x = 0 to 5 bj Graph the relation by hand (not using Desmos). c) Use your graph to estimate the coordinates of the vertex d) Explain the meaning of the coordinates of the vertex in the context of the footbal ") Explain the meaning of the data in the first row of the table of values. 2. In each case, the parabola y = x is transformed. Write the equation of the now parabola in the for y = a(f - h) + k a) The parabola is stretched vertically by a factor of 2 and reflected in the x-axis. b) The parabola is compressed vertically by a factor of 0.5, moved horizontally to the right by 5 units, and moved down vertically by 17 units. 3. A baseball is hit in the air. Its path can be modelled by the relation y = -3(x -9) +57. where y is the height of the ball and & is the horizontal distance, both measured in metres. a) Graph this relation by hand (not using Desmos). b) What is the vertex of this relation? c) What is the maximum height of the ball? d) What is the height of the ball when it has travelled a total distance of 8 m? a) What do the coordinates of the vertex represent in this situation? 4. For each parabola, state the equation of the quadratic relation in the form: 4 2 0 12 4 2 -6 -4 20 x handranes Part I2 3, Determine the plop pillow for each of the following quadnite relations