Pre-Calculus 11 Workbook - McGraw-Hill Ryerson

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$Math and Chemistry - McGraw-Hill Ryerson$

c) What does the vertex represent in this situation?d) What does the shape of the graph tell the manufacturer in this situation?10. Brooklyn wants to build an enclosure for her dog. She has 24 m of fencing, and she wantsto build a rectangular enclosure with the maximum possible area.a) Write a function to represent the rectangular area of the enclosure. How do you knowthat the function is quadratic?b) Sketch a graph of the function.y0 xc) Determine the coordinates of the vertex. What do these coordinates represent?d) What are the dimensions of the enclosure that achieve Brooklyn’s goals? What area willbe available to her dog?& Your work on this question should help you answer #15 and #17 on page 177 ofPre-Calculus 11.24 MHR • Chapter 3 978-0-07-073882-9
Connect11. a) Explain how knowing the vertex and direction of opening allows you to determine thenumber of x-intercepts of a quadratic function.b) Does knowing the equation of the axis of symmetry and direction of opening allow youto determine the number of x-intercepts? Explain using examples.12. For a quadratic function in standard form y = ax 2 + bx + c, the x-coordinate of the vertex__is given by x = b2a. Obtain an expression for the y-coordinate of the vertex by substitutingthis value into the quadratic. Explain whether you think it is useful to have this expression.978-0-07-073882-9 Pre-Calculus 11 Workbook • MHR 25
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 24 and 25: c) a quadratic function with its ve
Page 26 and 27: 8. Sketch the graph of a quadratic
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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