document.write( "Question 455843: i need help with this \r
\n" ); document.write( "\n" ); document.write( "write the standard form of the equation of the parable with its vertex at (0,0) and focus at (-2,0)
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Algebra.Com's Answer #313228 by lwsshak3(11628)\"\" \"About 
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write the standard form of the equation of the parabola with its vertex at (0,0) and focus at (-2,0)
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\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.
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\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
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\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28-8x%29%5E.5%2C-%28-8x%29%5E.5%29+\"
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