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Algebra
Question

Graph the equation \( x ^ { 2 } - y ^ { 2 } = 169 ...

Graph the equation \( x ^ { 2 } - y ^ { 2 } = 169 \) on a graphing calculator. Identify the conic section. Then identify the center and intercepts for circles and ellipses, or the vertices and direction that the graph opens for parabolas and hyperbolas. 

circle 

center: \( ( 0,0 ) \) 

intercepts: \( ( \pm 13,0 ) , ( 0 , \pm 13 ) \) 

 

ellipse 

center: \( ( 0,0 ) \) 

intercepts: \( ( \pm 13,0 ) , ( 0 , \pm 13 ) \) 

 

 hyperbola 

vertices: \( ( \pm 13,0 ) \) 

opens horizontally 

 

parabola 

center: \( ( 0,0 )\) vertex: \( ( 0,0 ) \) 

opens right 

Answer

Solution
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