Pre-Calculus 11 Workbook - McGraw-Hill Ryerson

More documents

Recommendations

Info

$Math and Chemistry - McGraw-Hill Ryerson$

Use (0, –2):y = a(x – 2) 2 – 3–2 = a(0 – 2) 2 – 3–2 = 4a – 31 = 4a1__4 = aSubstitute the parameters a, p, and q to write the equation of the function.y =Working Example 3: Determine the Number of x-Intercepts Using a and qDetermine the number of x-intercepts for the quadratic function f (x) = 4(x – 3) 2 .SolutionUse the value of a to determine if the graph opens upward or downward.Use the value of q to determine if the vertex is above, below, or on the x-axis.a (< or >) 0 The graph opens (upward or downward).q (< or = or >) 0 The vertex is (on or below or above) the x-axis.How many x-intercept(s) does the function have?& See pages 153–154 of Pre-Calculus 11 for more examples.How many times does thegraph touch the x-axis?4 MHR • Chapter 3 978-0-07-073882-9
Check Your UnderstandingPractise1. State the coordinates of the vertex and the number of x-intercepts for each of the followingfunctions.a) y = (x – 3) 2 + 5 b) y = –4x 2 + 1p = q =vertex: ( , )a (< or >) 0; the graph opens (upward or downward).q (< or >) 0; there are x-intercepts.c) y = 2__ 3 (x – 11)2 d) y = –( x + 1__2 ) 2 __+ 7 32. State the direction of opening, the equation of the axis of symmetry, and the maximum orminimum value for each of the following.a)y86420510x-2-4-6-8p = q =The graph opens(upward or downward).The equation of the axis of symmetry is .The (maximum or minimum) value is .978-0-07-073882-9 Pre-Calculus 11 Workbook • MHR 5
Page 2 and 3: Table of ContentsOverviewChapter 1
Page 5 and 6: Chapter 33.1 Investigating Quadrati
Page 7: Plot the vertex and these two other
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 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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?