Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the square on a(x-h)² + k. We can complete the square on a the terms containing x² and x. EXAMPLE 6-3 Find the vertex. · y = x² - 6x-2 y = x² - 6x-2 y = |x² - 6x + (99] 2 - 2 + ? We need to balance putting +()² = 9 inside the parentheses by adding -9 outside the parentheses. y = (x² - 6x + 9) - 2-9 y = (x - 3)² - 11 The vertex is (3,-11).
Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the square on a(x-h)² + k. We can complete the square on a the terms containing x² and x. EXAMPLE 6-3 Find the vertex. · y = x² - 6x-2 y = x² - 6x-2 y = |x² - 6x + (99] 2 - 2 + ? We need to balance putting +()² = 9 inside the parentheses by adding -9 outside the parentheses. y = (x² - 6x + 9) - 2-9 y = (x - 3)² - 11 The vertex is (3,-11).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 33E
Related questions
Question
Can you help me by breaking down the algebra involved in getting 6/2^2 in the parentheses and -2 outside of it? I don't know what rule I'm missing to not know how this works and how to apply it to similar problems.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning