Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola. O parabola ellipse O hyperbola (b) Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ ≤/2.) (c) Sketch the graph. -10 -10 -5 -5 y 10 5 -5 -10 y 10 5 -10 5 10 10 X X -10 -10 -5 -5 y 10+ -10 y 10 5 -5 -10 X 5 10 10 X X

Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola. O parabola ellipse O hyperbola (b) Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ ≤/2.) (c) Sketch the graph. -10 -10 -5 -5 y 10 5 -5 -10 y 10 5 -10 5 10 10 X X -10 -10 -5 -5 y 10+ -10 y 10 5 -5 -10 X 5 10 10 X X

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter11: Conics

Section11.2: Parabolas

Problem 11.37TI: Find the equation of the parabolic arch formed in the foundation of the bridge shown, Write the...

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