document.write( "Question 664345: Write the vertex form for a parabola with the given characteristics.\r
\n" ); document.write( "\n" ); document.write( "1. vertex ( 0, 0) directrix x = -15\r
\n" ); document.write( "\n" ); document.write( "2. vertex (3, 3) focus (3, 0)\r
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\n" ); document.write( "\n" ); document.write( "3. Vertex ( 0, 0 ) focus ( 2, 0)\r
\n" ); document.write( "\n" ); document.write( "Write the standard form for the parabola given the following equation.\r
\n" ); document.write( "\n" ); document.write( "4. x2 + 8x - y + 20 = 0\r
\n" ); document.write( "\n" ); document.write( "
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Algebra.Com's Answer #413676 by lwsshak3(11628)\"\" \"About 
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Write the vertex form for a parabola with the given characteristics.
\n" ); document.write( "1. vertex ( 0, 0) directrix x = -15
\n" ); document.write( "This is a parabola that opens rightwards
\n" ); document.write( "Its form of equation: (y-k)^2=4p(x-h)
\n" ); document.write( "p=15 (distance from vertex to directrix)
\n" ); document.write( "4p=60
\n" ); document.write( "equation:y^2=60x
\n" ); document.write( "..
\n" ); document.write( "2. vertex (3, 3) focus (3, 0)
\n" ); document.write( "This is a parabola that opens downwards
\n" ); document.write( "Its form of equation: (x-h)^2=-4p(y-k)
\n" ); document.write( "p=3 (distance from vertex to focus)
\n" ); document.write( "4p=12
\n" ); document.write( "equation:(x-3)^2=-12(y-3) \r
\n" ); document.write( "\n" ); document.write( "3. Vertex ( 0, 0 ) focus ( 2, 0)
\n" ); document.write( "This is a parabola that opens rightwards
\n" ); document.write( "Its form of equation: (y-k)^2=4p(x-h)
\n" ); document.write( "p=2 (distance from vertex to focus)
\n" ); document.write( "4p=8
\n" ); document.write( "equation:y^2=8x
\n" ); document.write( "..
\n" ); document.write( "Write the standard form for the parabola given the following equation.
\n" ); document.write( "4. x2+8x-y+20=0
\n" ); document.write( "standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex, A=multiplier that affects the slope or width of the curve. For A>0 parabola opens upwards, for A<0, parabola opens downwards.
\n" ); document.write( "y=x^2+8x+20
\n" ); document.write( "complete the square:
\n" ); document.write( "y=(x^2+8x+16)+20-16
\n" ); document.write( "y=(x+4)^2+4
\n" ); document.write( "This is an equation of a parabola that opens upwards with vertex at (-4,4)
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