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q1 Describe whether the data represents a linear or quadratic relationship. Time (s) 0 1 2 3 5 Height (m) 0 15 20 20 15 0 Q2 For each of the following, find f(3) a) f= {(1, 2), (2, 3), (3, 5), (4, 5)} b) x 1 3 5 7 f(x) 2 6 8 Q 3) Write in standard form: f(x) = 2(x-1)2 +5 94) Sketch h (x) = 2(x + 3)? - 1 by applying the appropriate transformations to the graph of f(x) = x2.q5) Mr. McIntosh has 90 apple trees. He earns an annual revenue of $120 per tree. If he plants more trees, they have less room to grow, resulting in fewer apples per tree. As a result, the annual revenue per tree is reduced by $1 for each additional tree. The revenue, in dollars, is modelled by the function R(x) = (90 + x) (120 - x), where x is the number of additional trees planted. Regardless of the number of trees planted, the cost of maintaining each tree is $8. The cost, in dollars, is modelled by the function C(x) = 8(90 + x), where x is the number of additional trees planted. How many trees must Mr. Mcintosh plant to maximize profit? 96) Clay shooting disks are launched from the ground into the air from a machine 12 m above the ground. The height of each disk, b(+), in metres, is modelled by b() = -5+2 + 30r + 12, where f is the time in seconds since it was launched. a) What is the maximum height the disks reach? b) At what time do the disks hit the ground? c) Determine the domain and range of this model. q7) The data in the table show the average mass of a boy as he grows between the ages of 1 and 12. Determine the following: a) domain b) range whether the relation is a function Age 2 (years) Mass 11.5 3.7 16.0 20.5 23.0 23.0 (kg) Age 10 12 (years) Mass 30.0 33.0 39.0 38.5 41.0 49.5 (kg)q8) (1+1+1+2+1) Determine the vertex, the axis of symmetry, the direction the parabola opens, and the number of zeros for each quadratic function. Sketch a graph g(x) = -2(x + 3)2 - 1 9). Write the equation of each graph in vertex form. a) off (x ) 4-(0, 4) 2- -5)q10) Describe the degree of each function and whether each is linear, or quadratic, or neither. a) f(x) = -8+3x b) 8(x) = 4x2 - 3x + 5 c) y= (x - 4) (4x2 - 3) q11) Write in vertex form by completing the square. f(x) = 2x2 + 20x + 16