document.write( "Question 621670: What is the graph of f(x)=1/3(x-4)^2-1 \n" ); document.write( "
Algebra.Com's Answer #390846 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "What is the graph of
\n" ); document.write( "f(x)=1/3(x-4)^2-1 Parabola Opening up along x = 4, V(4,-1)\r
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\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+\"
\n" ); document.write( "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
\n" ); document.write( " 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
\n" ); document.write( "and foci \"sqrt%28a%5E2%2Bb%5E2%29\" units right and left of 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,
\n" ); document.write( "and foci \"sqrt%28a%5E2%2Bb%5E2%29\"units units up and down from center, along x = h\r
\n" ); document.write( "\n" ); document.write( "the vertex form of a Parabola opening up(a>0) or down(a<0), \"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(a>0) or left(a<0), \"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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