30. f(x) = -x² - 4x + 5 33. f(x)= 3x² + 6x-4 31. h(x)= 34. f(x) = In Exercises 35-40, for each function f. find the x-intercepts of the graph of f. Also, determine the
30. f(x) = -x² - 4x + 5 33. f(x)= 3x² + 6x-4 31. h(x)= 34. f(x) = In Exercises 35-40, for each function f. find the x-intercepts of the graph of f. Also, determine the
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 14E
Related questions
Question
Number 33 please
![XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X
← → C ✰ xyztextbooks.com/ebook/title/reva_ca
= CONTENTS
238
85°F
Sunny
CATALOG
Chapter 3 Polynomial and Rational Functions
SECTION: 3.1
In Exercises 21-26, use transformations to graph each of the quadratic functions and find the vertex of the
associated parabola.
21. f(x) = (x + 2)² - 1
24. g(s) (s 2)² + 2
22. h(x) = (x 3)² + 2
25. h(x)=3(x+4)² - 2
44. f(x)= 3x² 12x + 4
47. f(t) = 16t² + 100
+
50. h(t)-5t +31²
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
30. f(x)=x² - 4x + 5
31. h(x)=x²+x-3
33. f(x) = 3x² + 6x-4
34. f(x)=2x² + 8x + 3
PAGE 238
In Exercises 35-40, for each function f, find the discriminant and use it to determine the number of
x-intercepts of the graph of f. Also, determine the number of real solutions to the equation f(x) = 0.
35. f(x)=x²2x - 1
36. f(x) = -x²+x+3
37. f(x) = 2x² + x + 1
40. f(x)=x² + 4x − 4
38. f(x) = 3x² - 4x + 4
39. f(x)= x² + 2x + 1
45. h(x)=x²-3x + 5
23. f(x) = (x + 1)² - 1
26. g(t) = 2(t- 3)² +3
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 + 4x - 3
48. f(x) = 10x² - 65
51. f(s) = -2s² + 3s +1
29. w(x)=x² + 6x + 4
32. g(x)=x²+x-7
46. h(x)=x²+x-2
49. G(x) = -6x + x² +5
52. g(t) = 3t²6t
3
4
a
VIDEOS
CC
Mr. Hampton
▶ Play
BOOKSHELF
Vertex 3 Axis of Symmetry
f(x)=2x²-8x+1
Vertex (hik) Zaifa)
axis of sym
T
SUPPLEMENTS
-(-8)_8
2(2) 4
f(2)=2(2)
CC
Shelby
▶ Play
= 2
Find the vertex and axis of symmetry of the graph of the
quadratic function f(x) : = 2x² − 8x + 1
-
CC
Breylor
▶ Play
ES
PROGRESS
-1:10
Math
1x
TOOLS III
Сс []
español
CC
Julieta
▶ Play
X
5:37 PM
10/20/2022
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa32b080e-315a-4cdc-b676-262d2151a2fd%2Fbcd6b184-2ad4-48aa-8b11-d4bb51f9af90%2Fxs8ihy_processed.png&w=3840&q=75)
Transcribed Image Text:XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X
← → C ✰ xyztextbooks.com/ebook/title/reva_ca
= CONTENTS
238
85°F
Sunny
CATALOG
Chapter 3 Polynomial and Rational Functions
SECTION: 3.1
In Exercises 21-26, use transformations to graph each of the quadratic functions and find the vertex of the
associated parabola.
21. f(x) = (x + 2)² - 1
24. g(s) (s 2)² + 2
22. h(x) = (x 3)² + 2
25. h(x)=3(x+4)² - 2
44. f(x)= 3x² 12x + 4
47. f(t) = 16t² + 100
+
50. h(t)-5t +31²
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
30. f(x)=x² - 4x + 5
31. h(x)=x²+x-3
33. f(x) = 3x² + 6x-4
34. f(x)=2x² + 8x + 3
PAGE 238
In Exercises 35-40, for each function f, find the discriminant and use it to determine the number of
x-intercepts of the graph of f. Also, determine the number of real solutions to the equation f(x) = 0.
35. f(x)=x²2x - 1
36. f(x) = -x²+x+3
37. f(x) = 2x² + x + 1
40. f(x)=x² + 4x − 4
38. f(x) = 3x² - 4x + 4
39. f(x)= x² + 2x + 1
45. h(x)=x²-3x + 5
23. f(x) = (x + 1)² - 1
26. g(t) = 2(t- 3)² +3
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 + 4x - 3
48. f(x) = 10x² - 65
51. f(s) = -2s² + 3s +1
29. w(x)=x² + 6x + 4
32. g(x)=x²+x-7
46. h(x)=x²+x-2
49. G(x) = -6x + x² +5
52. g(t) = 3t²6t
3
4
a
VIDEOS
CC
Mr. Hampton
▶ Play
BOOKSHELF
Vertex 3 Axis of Symmetry
f(x)=2x²-8x+1
Vertex (hik) Zaifa)
axis of sym
T
SUPPLEMENTS
-(-8)_8
2(2) 4
f(2)=2(2)
CC
Shelby
▶ Play
= 2
Find the vertex and axis of symmetry of the graph of the
quadratic function f(x) : = 2x² − 8x + 1
-
CC
Breylor
▶ Play
ES
PROGRESS
-1:10
Math
1x
TOOLS III
Сс []
español
CC
Julieta
▶ Play
X
5:37 PM
10/20/2022
20
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