document.write( "Question 752828: Hi! Please tell me what are the x-intercepts, which way the graph opens, (up or down) and graph this equation : -x^2=3x-2
\n" ); document.write( "I do not really understand how to graph that so can you maybe also explain? Thank you! \n" ); document.write( "
Algebra.Com's Answer #458067 by Okeke_Christian(26)\"\" \"About 
You can put this solution on YOUR website!
An intercept is a point at which the line of a graph crosses the indicated axis.\r
\n" ); document.write( "\n" ); document.write( "So, x-intercept is the point where the line cuts or crosses the x-axis while,
\n" ); document.write( "y-intercept is the point where the line cuts or crosses the y-axis.\r
\n" ); document.write( "\n" ); document.write( "When you want to plot a graph, you have to create a table first for values of both axis ( in physics, sometimes you encounter I/A(current) and V/V (volts), etc.).\r
\n" ); document.write( "\n" ); document.write( "For your equation,
\n" ); document.write( "\"-x%5E2=3x-2\",
\n" ); document.write( "I'm going to express y as a function of x, like this;\r
\n" ); document.write( "\n" ); document.write( "\"y=x%5E2%2B3x-2\"\r
\n" ); document.write( "\n" ); document.write( "The only thing I did in the above equation was carrying \"-x^2\" to the R.H.S and introducing the function, \"y\".\r
\n" ); document.write( "\n" ); document.write( "You'll plot a table of values for the graph.
\n" ); document.write( "Now take note, when plotting a table of values, you are to assign a rows for each unit like in the equation below,
\n" ); document.write( "\"y=2x%5E2%2B4x%2B3\",
\n" ); document.write( "your table would look something like this:\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "+++++++++++++++++++++++++++++++++++++++++++++\r\n" );
document.write( "|x    | -3  | -2  | -1  | 0  | 1  | 2  | 3  |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|2x^2 |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|+4x  |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|+3   |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|y    |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "For another equation, say,
\n" ); document.write( "\"y=-x%5E2+%2Bx+-10\",
\n" ); document.write( "your table would look something like this:\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "+++++++++++++++++++++++++++++++++++++++++++++\r\n" );
document.write( "|x    | -3  | -2  | -1  | 0  | 1  | 2  | 3  |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|-x^2 |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|+x   |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|-10  |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|y    |     |     |     |    |    |    |    |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "I hope you understood with those two examples?\r
\n" ); document.write( "\n" ); document.write( "Now, for our major question,\r
\n" ); document.write( "\n" ); document.write( "\"y=x%5E2%2B3x-2\", this is how our table might look:\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "+++++++++++++++++++++++++++++++++++++++++++++\r\n" );
document.write( "|x    | -3  | -2  | -1  | 0  | 1  | 2  | 3  |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|x^2  |  9  |  4  |  1  | 0  | 1  | 4  | 9  |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|+3x  | -9  | -6  | -3  | 0  | 3  | 6  | 9  |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|-2   | -2  | -2  | -2  | -2 | -2 | -2 | -2 |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|y    |  -2 | -4  | -4  | -2 |  2 |  8 | 16 |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Final table (because we need just x and y values):
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\r\n" );
document.write( "+++++++++++++++++++++++++++++++++++++++++++++\r\n" );
document.write( "|x    | -3  | -2  | -1  | 0  | 1  | 2  | 3  |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "|y    | -2  | -4  | -4  | -2 | 2  | 8  | 16 |\r\n" );
document.write( "|_____|_____|_____|_____|____|____|____|____|\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "I don't know how to plot graphs properly on this site. When I do, I'll update the graph here.\r
\n" ); document.write( "\n" ); document.write( "Hope I helped?
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