In Exercises 27-34, write each quadratic function in the form a(x – h)? + k by completing the square. Also find the vertex of the associated parabola and sketch the graph. 27. g(x) = x² + 2x + 5 28. h(x) = x² – 4x + 6 29. w(x) = -x? + 6x + 4 %3D 30. f(x) = -x² – 4x + 5 31. h(x) = x² + x - 3 32. g(x) = -x² + x - 7 33. f(x) = 3x² + 6x – 4 34. f(x) = -2x2 + 8x + 3 %3D %3D

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section8.4: Graphing F(x)=a(x-h)2+k
Problem 58E
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Hi! I’m having trouble with questions 28 and 34.
In Exercises 27-34, write each quadratic function in the form a(x- h)² + k by completing the square. Also find
the vertex of the associated parabola and sketch the graph.
|
27. g(x) = x2 + 2x + 5
28. h(x) = x² - 4x + 6
29. w(x) = -x² + 6x + 4
30. f(x) = -x² – 4x + 5
31. h(x) = x² + x - 3
32. g(x) = -x² + x - 7
33. f(x) = 3x2 + 6x – 4
34. f(x) = -2x2 + 8x + 3
Transcribed Image Text:In Exercises 27-34, write each quadratic function in the form a(x- h)² + k by completing the square. Also find the vertex of the associated parabola and sketch the graph. | 27. g(x) = x2 + 2x + 5 28. h(x) = x² - 4x + 6 29. w(x) = -x² + 6x + 4 30. f(x) = -x² – 4x + 5 31. h(x) = x² + x - 3 32. g(x) = -x² + x - 7 33. f(x) = 3x2 + 6x – 4 34. f(x) = -2x2 + 8x + 3
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