document.write( "Question 941453: chart which shows at least three ordered pairs for the function
\n" ); document.write( "y = x^2 - 2x + 2
\n" ); document.write( "

Algebra.Com's Answer #573896 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "chart which shows at least three ordered pairs for the function
\n" ); document.write( "y = x^2 - 2x + 2
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\n" ); document.write( "\"y+=+x%5E2+-+2x+%2B+2\"
\n" ); document.write( "STEP 1:
\n" ); document.write( "Find the coordinates of the vertex
\n" ); document.write( "The x-coordinate of the vertex or the axis of symmetry is at: \"x+=+-+b%2F2a\"_____\"x+=+-+-+2%2F2\"_____\"x+=+1\"
\n" ); document.write( "\"y+=+1%5E2+-+2%281%29+%2B+2\" ------ Substituting 1 for x
\n" ); document.write( "y = 1 - 2 + 2
\n" ); document.write( "y, or the y-coordinate of the vertex = 1
\n" ); document.write( "1st point: Vertex: \"highlight_green%28%281%3A1%29%29\"
\n" ); document.write( "STEP 2:
\n" ); document.write( "We can now use 0 (1 less than axis of symmetry value) for x to determine the y value.
\n" ); document.write( "Incidentally, this is the Y-INTERCEPT of the parabola
\n" ); document.write( "\"y+=+x%5E2+-+2x+%2B+2\"
\n" ); document.write( "\"y+=+0%5E2+-+2%280%29+%2B+2\" ------ Substituting 0 for x
\n" ); document.write( "2nd point: y-intercept: \"highlight_green%28%280%3A2%29%29\"
\n" ); document.write( "STEP 3:
\n" ); document.write( "As all parabolas are symmetrical about the vertex, we can now use 2 (1 more than axis of symmetry value) for x to
\n" ); document.write( "determine the y value. The y-value for x = 2 will in this case, be the same y-value when x = 0 was substituted.
\n" ); document.write( "3rd point: \"highlight_green%28%282%3A2%29%29\" \n" ); document.write( "
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