Find the equation of the graph for each conic in general form. Identify the conic, the center, the| vertex, the co-vertex, the focus (foci), major axis, minor axis, a 2 , b 2, and c 2. For hyperbola, find the asymptotes. Sketch the graph. 4(x + 1) 2- (y- 3) 2 = 9
Find the equation of the graph for each conic in general form. Identify the conic, the center, the| vertex, the co-vertex, the focus (foci), major axis, minor axis, a 2 , b 2, and c 2. For hyperbola, find the asymptotes. Sketch the graph. 4(x + 1) 2- (y- 3) 2 = 9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis, \( a^2 \), \( b^2 \), and \( c^2 \). For hyperbola, find the asymptotes. Sketch the graph.
\[ 4(x + 1)^2 - (y - 3)^2 = 9 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd21d8c83-5470-430d-a8ec-b76a155fcd97%2F098424bc-2ede-4cee-98e8-13c3e31cda73%2F2z1lb6s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis, \( a^2 \), \( b^2 \), and \( c^2 \). For hyperbola, find the asymptotes. Sketch the graph.
\[ 4(x + 1)^2 - (y - 3)^2 = 9 \]
Expert Solution
Step 1
The standard equation of the hyperbola is as follows.
The center is .
Semi axis is and the semi conjugate axis is b.
The vertices are .
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