1. Work with the quadratic function y(x) = 2x² + 2x + 2. (a) Find the roots. (b) Define the axis of symmetry and calculate its value.

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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can you please explain how they get the roots and also how they got axis of symmetry?

1. Work with the quadratic function y(x) = 2x² + 2x + 2.
(a) Find the roots.
(b) Define the axis of symmetry and calculate its value.
(c) Does the function have a maximum or a minimum? Why?
(d) What is the value of the function at the maximum (or minimum)?
(e) Graph the function.
(a) √ ₁ = - 1²/²2 -√√-3
2
-+ +√√-3
2
r₂
2
(b) The axis of symmetry is the line about which
Y(x) is symmetric. x² = 1₁+1²₂=~²/2₂
2
Transcribed Image Text:1. Work with the quadratic function y(x) = 2x² + 2x + 2. (a) Find the roots. (b) Define the axis of symmetry and calculate its value. (c) Does the function have a maximum or a minimum? Why? (d) What is the value of the function at the maximum (or minimum)? (e) Graph the function. (a) √ ₁ = - 1²/²2 -√√-3 2 -+ +√√-3 2 r₂ 2 (b) The axis of symmetry is the line about which Y(x) is symmetric. x² = 1₁+1²₂=~²/2₂ 2
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