For each of the following quadratic forms q(x₁, x2), sketch the curve q(x₁, x₂) = 1 in R². Label the principal axes. 5.a q(x1, x₂) = 8x² - 4x₁x2 + 5x²2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 1E: To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.
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For each of the following quadratic forms q(x1, x2), sketch the curve q(x₁, x2) = 1 in R². Label the principal
axes.
5.a q(x1, x2) = 8x² - 4x1x2 + 5x².
5.b q(x1, x2) = 3x² - 10x₁x₂ + 3x2.
Transcribed Image Text:For each of the following quadratic forms q(x1, x2), sketch the curve q(x₁, x2) = 1 in R². Label the principal axes. 5.a q(x1, x2) = 8x² - 4x1x2 + 5x². 5.b q(x1, x2) = 3x² - 10x₁x₂ + 3x2.
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