Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 12E
Related questions
Question
Quadratic function into vertex form
image is from the teaching video, I do not understand how he gets =36 -36 in the third line
Transcribed Image Text:(A) f(x) =
0.5x-6x+21
经)
-12
3D36
0.5(x²-12x +42)
0.5(x-12x+36-36+42.)
= 0.5((x-c)²+ 6)
0.5((x-6)²+6)
0.5(x-6)
3.
%3D
%3D
%3D
%3D
Expert Solution
Step 1
Now to do a complete square we need to add and subtract some constant and that constant is given by:
(1) the coefficient of x is -12,
(2) divide the coefficient by 2 ,
(3) now take a square of that number
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