document.write( "Question 606915: Find the vertex, focus, directrix, and Axis of symetry for: x^2+10x+4y+9=0\r
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Algebra.Com's Answer #382410 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "Yes, there is no y^2. This is a Parabola.
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document.write( "the vertex form of a parabola opening up or down,  where(h,k) is the vertex.
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document.write( "x^2+10x+4y+9=0
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document.write( "(x+5)^2 -25 + 4y + 9=0
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document.write( "(x+5)^2 + 4y -16 =0
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document.write( "    a = -1/4<0, open downwards, Center(-5,4) Axis of symmetry x=-5 
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document.write( "The standard form is , where  the focus is (h,k + p)
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document.write( "4p = -4, p = -1 , focus is (-5,3) and directrix is y = 5\r
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document.write( "See below descriptions of various conics\r
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document.write( "Standard Form of an Equation of a Circle is  
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document.write( "where Pt(h,k) is the center and r is the radius\r
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document.write( " Standard Form of an Equation of an Ellipse is  where Pt(h,k) is the center.
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document.write( " a and b  are the respective vertices distances from center and ąare the foci distances from center\r
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document.write( "Standard Form of an Equation of an Hyperbola opening right and  left is:
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document.write( "   where Pt(h,k) is a center  with vertices 'a' units right and left of center.\r
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document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
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document.write( "   where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
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document.write( "\n" );
document.write( "the vertex form of a parabola opening up or down,  where(h,k) is the vertex.
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document.write( "The standard form is , where  the focus is (h,k + p)\r
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document.write( "\n" );
document.write( "the vertex form of a parabola opening right or left,  where(h,k) is the vertex.
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document.write( "The standard form is , where  the focus is (h +p,k ) \n" );
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