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Question 441449: Identify the conic section and describe the graph, and it's lines of symmetry. Then find the domain and range. Help, please? 3y^2 - x^2 = 25
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Identify the conic section and describe the graph, and it's lines of symmetry. Then find the domain and range. Help, please? 3y^2 - x^2 = 25
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Divide thru by 3*25 to get
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y^2/25 - x^2/75 = 1
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Since the signs are different the conic is a hyperbola.
Since the negative is on the x^2, the graph opens up and down.
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a = 5 ; b = 5sqrt(3)
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lines of symmetry: x = 0; y = 0
Domain: All Real Numbers
Range: |y|>=5
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Cheers,
Stan H.
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