document.write( "Question 664345: Write the vertex form for a parabola with the given characteristics.\r
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document.write( "1. vertex ( 0, 0) directrix x = -15\r
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document.write( "2. vertex (3, 3) focus (3, 0)\r
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document.write( "3. Vertex ( 0, 0 ) focus ( 2, 0)\r
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document.write( "Write the standard form for the parabola given the following equation.\r
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document.write( "4. x2 + 8x - y + 20 = 0\r
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Algebra.Com's Answer #413676 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 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) \n" ); document.write( " |