document.write( "Question 619017: 1. Identify the focus, directrix, and axis of symmetry of the parabola
\n" ); document.write( " a. y= 1/2x^2
\n" ); document.write( " b. y^2=16x\r
\n" ); document.write( "\n" ); document.write( "2. Identify the vertices, co-vertices and foci of the ellipse
\n" ); document.write( " a. x^2/36 + y^2/16 =1
\n" ); document.write( " b. (x+5)^2 + y^2/49 = 1
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Algebra.Com's Answer #389265 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( " a. y= 1/2x^2 Or 2y = x^2 Opening Up: coefficient of x^2 >0
\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( "V(0,0), F(0,.5) directrix is y = -.5 and axis of symmetry is x= 0
\n" ); document.write( " b. y^2 = 16x below...Opening Right: coefficient of y ^2 >0,V(0,0) p = 4
\n" ); document.write( "The standard form is \"%28y+-k%29%5E2+=+4p%28x+-h%29\", where the focus is (h +p,k )\r
\n" ); document.write( "\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.\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.\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 )\r
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