document.write( "Question 448864: Find the equation for the hyperbola?
\n" ); document.write( "vertices at (-1,0),(1,0) and asymptote of the line y=3x
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Algebra.Com's Answer #308857 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "Find the equation for the hyperbola with:
\n" ); document.write( "vertices at (-1,0),(1,0)(opens right and left) and asymptote of the line y=3x
\n" ); document.write( " x^2/1^2 - y^2/b^2 = 1 Center(0,0) and a = 1
\n" ); document.write( "y = 3x that is b/a = 3 b = 3
\n" ); document.write( " \"+x%5E2%2F1%5E2+-+y%5E2%2F9+=+1+\"
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\n" ); document.write( "\n" ); document.write( "Standard Form of an Equation of a Circle is \"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\"
\n" ); document.write( "where Pt(h,k) is the center and r is the radius\r
\n" ); document.write( "\n" ); document.write( " Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\"
\n" ); document.write( "where Pt(h,k) is the center and a and b are the respective vertices distances from center.\r
\n" ); document.write( "\n" ); document.write( "Standard Form of an Equation of an Hyperbola is \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\" where Pt(h,k) is a center with vertices 'a' units right and left of center.
\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" ); document.write( " \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" where Pt(h,k) is a center with vertices 'b' units up and down from center.\r
\n" ); document.write( "\n" ); document.write( "Using the vertex form of a parabola opening up or down, \"y=a%28x-h%29%5E2+%2Bk\"
\n" ); document.write( " where(h,k) is the vertex
\n" ); document.write( " The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where the focus is (h,k + p) \n" ); document.write( "
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