Consider the quadratic function f(x)=-2x^2+6x-2. A) what are the y and x incerpts. Use these intercepts to write the function in factored form.  B)Use completing the square to write the function in standard form. C) list a sequence of transformations to get from the graph of y=x^2 to the graph of f. Sketch a graph of y=f(x). Does the graph open upward or downward. Where does the global maximun or minimun value of the function occur. What are thye global max. or min value. where is the function increasing and decreasing? D) What are the domain and range of the function? Giv ethe equation of the parabolas axis of symmetry.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.7: Graph Quadratic Functions Using Transformations
Problem 362E: Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section...
icon
Related questions
Question
100%

Consider the quadratic function f(x)=-2x^2+6x-2.

A) what are the y and x incerpts. Use these intercepts to write the function in factored form. 

B)Use completing the square to write the function in standard form.

C) list a sequence of transformations to get from the graph of y=x^2 to the graph of f. Sketch a graph of y=f(x). Does the graph open upward or downward. Where does the global maximun or minimun value of the function occur. What are thye global max. or min value. where is the function increasing and decreasing?

D) What are the domain and range of the function? Giv ethe equation of the parabolas axis of symmetry. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Functions and Inverse Functions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
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:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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