document.write( "Question 455843: i need help with this \r
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document.write( "write the standard form of the equation of the parable with its vertex at (0,0) and focus at (-2,0) \n" );
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Algebra.Com's Answer #313228 by lwsshak3(11628) ![]() You can put this solution on YOUR website! write the standard form of the equation of the parabola with its vertex at (0,0) and focus at (-2,0) \n" ); document.write( ".. \n" ); document.write( "From given info, it can be seen that this is a parabola with a horizontal axis of symmetry, y=0 or x-axis, and it opens leftward. You can tell it has a horizontal axis of symmetry because the y-coordinates of the focus and vertex are the same. It opens leftward because the focus is to the left of the vertex. Because it opens leftwards, the function has a negative sign. \n" ); document.write( ".. \n" ); document.write( "Standard form of given parabola: \n" ); document.write( "(y-k)^2=-4p(x-h) \n" ); document.write( "(y-0)^2=-4p(x-0) \n" ); document.write( "y^2=-4px \n" ); document.write( "p=distance between vertex and focus on the axis of symmetry=2 \n" ); document.write( "4p=8 \n" ); document.write( "Equation: y^2=-8x \n" ); document.write( "See the graph below as a visual check on the answer. \n" ); document.write( "y=(-8x)^.5 \n" ); document.write( ".. \n" ); document.write( " |