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
icon
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.

in the
Quadratic equations are not
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 +
6
01-
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).
Transcribed Image Text:in the Quadratic equations are not 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 + 6 01- 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).
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning