63. Prove that every quadratic function of the form f(x) = x2 + bx +c can be written in the form f (x) – (x – k)² +C, with k = - an b d C =c - 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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63. Prove that every quadratic function of the form f(x) =
x2 + bx +c can be written in the form f (x) – (x – k)² +C,
with k = - an
b
d C =c -
4
Transcribed Image Text:63. Prove that every quadratic function of the form f(x) = x2 + bx +c can be written in the form f (x) – (x – k)² +C, with k = - an b d C =c - 4
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