Pre-Calculus 11 Workbook - McGraw-Hill Ryerson

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$Math and Chemistry - McGraw-Hill Ryerson$

c) a quadratic function with its vertex located on the x-axisd) a quadratic function with an axis of symmetry of x = 2 and passing through thepoint (5, 0)e) a quadratic function with vertex (–2, 5) and passing through the point (1, 18)f) a quadratic function with a range of y ≤ –7& See #8 on page 175 of Pre-Calculus 11 for more practice with this concept.Apply6. The graph approximates the height of a soccer ball that is kicked by the goalkeeper. Use thegraph to answer the following questions. Explain what property of the graph led to youranswer.hHeight (m)4201 2Time (s)ta) From what height is the ball kicked?b) What is the maximum height of the ball? When does it occur?c) How long is the ball in the air?d) What are the domain and range for this situation?20 MHR • Chapter 3 978-0-07-073882-9
7. When determining the maximum allowable speed for a curve in a road, engineers use the__equation a = v2r , where a is the acceleration, in metres per second squared, experienced bythe vehicle as it turns, v is the road speed of the vehicle in metres per second, and r is theradius of the curve, in metres.a) Suppose that a particular curve has a radius of 25 m. Write the equation for theacceleration of vehicles around this curve.b) Identify the vertex, the equation of the axis of symmetry, and the intercepts of thefunction. Sketch the graph of the function.y0 xc) Determine the domain of the function. Explain your answer.d) Determine the range of the function. Explain your answer.e) The speed limit on the road is equivalent to 14 m/s. The maximum acceleration theengineer wants vehicles to experience on the curve is 6 m/s 2 . Does the curve fit thecriterion? Explain your answer.978-0-07-073882-9 Pre-Calculus 11 Workbook • MHR 21
Page 2 and 3: Table of ContentsOverviewChapter 1
Page 5 and 6: Chapter 33.1 Investigating Quadrati
Page 7 and 8: Plot the vertex and these two other
Page 9 and 10: Check Your UnderstandingPractise1.
Page 11 and 12: ) y = -4(x + 7) 2 + 2y8642-5 05-2x-
Page 13 and 14: ) y = x 2 is transformed to y = 2(x
Page 16 and 17: 3.2 Investigating Quadratic Functio
Page 18 and 19: The x-coordinate of the vertex is .
Page 20 and 21: d) The x-intercept of indicates tha
Page 22 and 23: • Since the graph opens downward,
Page 26 and 27: 8. Sketch the graph of a quadratic
Page 28 and 29: c) What does the vertex represent i
Page 30 and 31: 3.3 Completing the SquareKEY IDEAS
Page 32 and 33: ) Method 1: Use AlgebraTo verify th
Page 34 and 35: Check Your UnderstandingPractise1.
Page 36 and 37: c) y = 1__2 (x - 5)2 - 4 and y = 1_
Page 38 and 39: 10. An animal rescue society needs
Page 40 and 41: ) Determine the quadratic function
Page 42 and 43: Chapter 3 Skills OrganizerComplete
Page 44: Chapter 3 Study CheckUse the chart

Pre-Calculus 11 Workbook - McGraw-Hill Ryerson

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