document.write( "Question 619477: I have the following equation: I need to identify the vertices and foci of the hyperbola. I also need to show my work. \r
\n" ); document.write( "\n" ); document.write( "(y+5)^2/36 - (x+2)^2/25 =1\r
\n" ); document.write( "\n" ); document.write( "thank you
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Algebra.Com's Answer #389681 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Note: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 and foci \"sqrt%28a%5E2%2Bb%5E2%29\" from center along x = h
\n" ); document.write( "(y+5)^2/36 - (x+2)^2/25 =1 C(-5,-2) V(,-5,-8) & V(-5,4), F(-5, -2±\"sqrt%2861%29\")
\n" ); document.write( "See below descriptions of various conics
\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
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\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+\" where Pt(h,k) is the center. (a positioned to correspond with major axis)
\n" ); document.write( " a and b are the respective vertices distances from center and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b\r
\n" ); document.write( "\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening right and left is:
\n" ); document.write( " \"%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 and foci {{sqrt(a^2+b^2) from center along y = k.\r
\n" ); document.write( "\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 along x = h.\r
\n" ); document.write( "\n" ); document.write( "the vertex form of a parabola opening up or down, \"y=a%28x-h%29%5E2+%2Bk\" 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)\r
\n" ); document.write( "\n" ); document.write( "the vertex form of a parabola opening right or left, \"x=a%28y-k%29%5E2+%2Bh\" where(h,k) is the vertex.
\n" ); document.write( "The standard form is \"%28y+-k%29%5E2+=+4p%28x+-h%29\", where the focus is (h +p,k )
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