5. f(t) = − 31 + - 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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number 55 please

XRevathi Narasimhan, College Alge X
← → C ✰ xyztextbooks.com/ebook/title/reva_ca
E CONTENTS
82°F
Sunny
CATALOG
X Revathi Narasimhan, College Alge X +
4A 1
35. ^ λ
38. f(x) = 3x² - 4x + 4
44. f(x)= 3x² 12x + 4
47. f(t)=16t² + 100
50. h(t) = -5t + 3-t²
In Exercises 41-56, find the vertex, axis of symmetry, y-intercept, and any x-intercepts of the associated
parabola. Find at least two additional points on the parabola and sketch.
41. f(x) = 2x² + 4x - 1
42. f(x)=x² - 6x +1
43. g(x)=x² + 4x3
53. g(t) = ² +t+1
56. h(t) 1- - 1/2 t
SECTION: 3.1
t-1²
00. л(л) - -л тата
39. f(x)=x² + 2x + 1
45. h(x)=x²-3x + 5
48. f(x) = 10x² - 65
51. f(s) = -2s² + 3s +1
54. f(t)=-1²-1
31. J^) — LA TATI
40. f(x)= x² + 4x4
61. f(x) = -0.2x² + 0.4x - 2.2
1 1
x + 1
64. g(x)=x² +
6
3
PAGE 238
46. h(x)=x²+x-2
49. G(x) = -6x + x² + 5
3
4
52. g(t) = 31² - 6t
55. f(t) = 1/3
In Exercises 57-64, find the vertex and axis of symmetry of the associated parabola. Sketch the parabola.
Find the intervals where the function is increasing or decreasing and find the range.
58. h(x)=x² + 6x - 7
59. f(x) = 2x² + 4x3
57. f(x)= x² + 10x - 8
60. g(x) = -4x² - 8x + 5
1 1
x-2
2
62. f(x) = 0.3x2² +0.6x + 1.3.
63. h(x) = =x^² +
4
- 3t+1²
65. The graph off opens downward, and has x-intercepts (3, 0) and (-1,0).
66. The graph of fopens upward, and has x-intercepts (-2, 0) and (4, 0).
In Exercises 65-68, find a quadratic function with the given properties. There can be more than
one answer.
a
CC
VIDEOS
Mr. Hampton
▶ Play
BOOKSHELF
SUPPLEMENTS
f(x)=-3x² - 6x +2
Vertex: (-1,5)
Points: (-2.29,0) 0.29,0),(0,2).(-2,2)
) Inc: (00,-
CC
Shelby
▶ Play
- 00, -1) + Range: (-∞0,"
.ao,
Dec:F190)
ES
PROGRESS
e. Use the graph to find intervals where f is increasing or
decreasing and find the range.
CC
Breylor
▶ Play
Math
-0:00 1x
TOOLS III
Сс []
español
CC
Julieta
▶ Play
X
6:52 PM
10/20/2022
20
Transcribed Image Text:XRevathi Narasimhan, College Alge X ← → C ✰ xyztextbooks.com/ebook/title/reva_ca E CONTENTS 82°F Sunny CATALOG X Revathi Narasimhan, College Alge X + 4A 1 35. ^ λ 38. f(x) = 3x² - 4x + 4 44. f(x)= 3x² 12x + 4 47. f(t)=16t² + 100 50. h(t) = -5t + 3-t² In Exercises 41-56, find the vertex, axis of symmetry, y-intercept, and any x-intercepts of the associated parabola. Find at least two additional points on the parabola and sketch. 41. f(x) = 2x² + 4x - 1 42. f(x)=x² - 6x +1 43. g(x)=x² + 4x3 53. g(t) = ² +t+1 56. h(t) 1- - 1/2 t SECTION: 3.1 t-1² 00. л(л) - -л тата 39. f(x)=x² + 2x + 1 45. h(x)=x²-3x + 5 48. f(x) = 10x² - 65 51. f(s) = -2s² + 3s +1 54. f(t)=-1²-1 31. J^) — LA TATI 40. f(x)= x² + 4x4 61. f(x) = -0.2x² + 0.4x - 2.2 1 1 x + 1 64. g(x)=x² + 6 3 PAGE 238 46. h(x)=x²+x-2 49. G(x) = -6x + x² + 5 3 4 52. g(t) = 31² - 6t 55. f(t) = 1/3 In Exercises 57-64, find the vertex and axis of symmetry of the associated parabola. Sketch the parabola. Find the intervals where the function is increasing or decreasing and find the range. 58. h(x)=x² + 6x - 7 59. f(x) = 2x² + 4x3 57. f(x)= x² + 10x - 8 60. g(x) = -4x² - 8x + 5 1 1 x-2 2 62. f(x) = 0.3x2² +0.6x + 1.3. 63. h(x) = =x^² + 4 - 3t+1² 65. The graph off opens downward, and has x-intercepts (3, 0) and (-1,0). 66. The graph of fopens upward, and has x-intercepts (-2, 0) and (4, 0). In Exercises 65-68, find a quadratic function with the given properties. There can be more than one answer. a CC VIDEOS Mr. Hampton ▶ Play BOOKSHELF SUPPLEMENTS f(x)=-3x² - 6x +2 Vertex: (-1,5) Points: (-2.29,0) 0.29,0),(0,2).(-2,2) ) Inc: (00,- CC Shelby ▶ Play - 00, -1) + Range: (-∞0," .ao, Dec:F190) ES PROGRESS e. Use the graph to find intervals where f is increasing or decreasing and find the range. CC Breylor ▶ Play Math -0:00 1x TOOLS III Сс [] español CC Julieta ▶ Play X 6:52 PM 10/20/2022 20
Expert Solution
Given

The given equation is f(t)=13-3t+t2

We have to sketch the graph of the function.

steps

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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

It is f(t)=1/3-3t+t^2 not f(t)=13-3t+t^2

Solution
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