Question 204938This question is from textbook College Algebra
: Can someone PLEASE HELP me with this problem!!!! PLEASE.
Identify the center, vertices, and foci (if applicable)
x^2-4y^2-4x=0
This question is from textbook College Algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Identify the center, vertices, and foci (if applicable)
x^2-4y^2-4x=0
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Complete the square on the x-terms and on the y-terms.
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x^2 - 4x + 4 - 4y^2-4 = 0
(x-2)^2 - 4(y-0)^2 = 4
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[(x-2)^2]/4 - [(y-0)^2]/1 = 1
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a = 2, b = 1 and the figure is a hyperbola so c=sqrt(a^2+b^2) = sqrt(5)
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Center: (2,0)
Vertices: (2+a,0) and (2-a,0) or (4,0) and (0,0)
Foci: (2+c,0) and (2-c,0) or (2+sqrt(5),0) and (2-sqrt(5),0)
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Cheers,
Stan H.
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