document.write( "Question 448900: write an equation for the conic sections\r
\n" ); document.write( "\n" ); document.write( "5. ellipse with center at (0,0) vertex (-4,0) and co-vertex (0,3)\r
\n" ); document.write( "\n" ); document.write( "6. circle with center at (-1,2) and radius 4.\r
\n" ); document.write( "\n" ); document.write( "7. parabola with vertex at (0,0) and directrix x = -3\r
\n" ); document.write( "\n" ); document.write( "8. hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0)\r
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Algebra.Com's Answer #308840 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "5. ellipse with center at (0,0) vertex (-4,0) and co-vertex (0,3)
\n" ); document.write( " \"x%5E2%2F16+%2B+y%5E2%2F9+=+1\"
\n" ); document.write( "6. circle with center at (-1,2) and radius 4. \"%28x%2B1%29%5E2+%2B+%28y-2%29%5E2+=+16\"
\n" ); document.write( "7. parabola with vertex at (0,0) and directrix x = -3
\n" ); document.write( " y^2 = (3/4)x 4p = 3 p = 3/4
\n" ); document.write( "8. hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0)
\n" ); document.write( " y^2/4 - x^2/5 = 1 c =\"sqrt%284+%2B+a%5E2%29\" = 3 a = \"sqrt%285%29\"\r
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\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, \"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)
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