document.write( "Question 875463: I have to find where the parabola crosses the x-axis and the y-axis for this equation: Y=x^2-3x+2. Could someone please help? \n" ); document.write( "
Algebra.Com's Answer #528191 by Theo(13342)\"\" \"About 
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y = x^2 - 3x + 2
\n" ); document.write( "to find the y-axis crossing, make the value of x = to 0 and solve for y
\n" ); document.write( "you get:
\n" ); document.write( "y = 0^2 - 3*0 + 2 which is equal to 2.
\n" ); document.write( "the graph crosses the y-axis as (0,2).
\n" ); document.write( "to find the x-axis crossing, you have to set y = 0 and solve the equation.
\n" ); document.write( "you get:
\n" ); document.write( "0 = x^2 - 3x + 2
\n" ); document.write( "factor this equation to get:
\n" ); document.write( "(x-2) * (x-1) = 0
\n" ); document.write( "set each of these factors equal to 0 to get:
\n" ); document.write( "x - 2 = 0
\n" ); document.write( "x - 1 = 0
\n" ); document.write( "solve for x in each of these equations to get:
\n" ); document.write( "x = 2
\n" ); document.write( "x = 1
\n" ); document.write( "the equation crosses the x-axis at (2,0) and (1,0)
\n" ); document.write( "a graph of your equation is shown below:\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28600%2C600%2C-5%2C5%2C-5%2C5%2Cx%5E2+-+3x+%2B+2%29\"\r
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\n" ); document.write( "\n" ); document.write( "you can see that it crosses the y-axis at y = 2 and the x-axis as x = 1 and x = 2
\n" ); document.write( "the coordinate points are:
\n" ); document.write( "(0,2), (1,0), (2,0)\r
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