For the quadratic function f(x) = 7x² + 14x + 1, answer parts (a) through (c). Verify the resu graphing utility. (a) Graph the quadratic function by determining whether its graph opens up or down and b its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. The graph off opens The vertex of fis (Type an ordered pair.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 55HP
icon
Related questions
Question
For the quadratic function f(x) = 7x² + 14x + 1, answer parts (a) through (c). Verify the results using a
graphing utility.
(a) Graph the quadratic function by determining whether its graph opens up or down and by finding
its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.
The graph off opens
The vertex of fis
(Type an ordered pair.)
The axis of symmetry is
(Type an equation.)
Determine the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
OA. The y-intercept is
(Type an integer or a decimal.)
OB. There is no y-intercept.
Transcribed Image Text:For the quadratic function f(x) = 7x² + 14x + 1, answer parts (a) through (c). Verify the results using a graphing utility. (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. The graph off opens The vertex of fis (Type an ordered pair.) The axis of symmetry is (Type an equation.) Determine the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept is (Type an integer or a decimal.) OB. There is no y-intercept.
For the quadratic function f(x) = 7x² + 14x+1, answer parts (a) through (c). Verify the results using a graphing utility.
Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
OA. The x-intercept(s) is/are
(Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers
as needed.)
B. There is no x-intercept.
Use the graphing tool to graph the function.
Click to
enlarge
graph
(b) Determine the domain and the range of the function.
The domain off is
(Type your answer in interval notation.)
The range of fis
(Type your answer in interval notation.)
(c) Determine where the function is increasing and where it is decreasing.
The function is increasing on the interval-
(Type your answer in interval notation.)
The function is decreasing on the interval.
16-
12-
म
-12-4
120
A
Transcribed Image Text:For the quadratic function f(x) = 7x² + 14x+1, answer parts (a) through (c). Verify the results using a graphing utility. Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) B. There is no x-intercept. Use the graphing tool to graph the function. Click to enlarge graph (b) Determine the domain and the range of the function. The domain off is (Type your answer in interval notation.) The range of fis (Type your answer in interval notation.) (c) Determine where the function is increasing and where it is decreasing. The function is increasing on the interval- (Type your answer in interval notation.) The function is decreasing on the interval. 16- 12- म -12-4 120 A
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College