document.write( "Question 280245: consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the \"c\" on the location and/or shape of the parabola? \n" ); document.write( "
Algebra.Com's Answer #203688 by stanbon(75887)\"\" \"About 
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consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the \"c\" on the location and/or shape of the parabola?
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\n" ); document.write( "Notice that the equation is a statement about \"y\".
\n" ); document.write( "It tells you where y is when x has certain values.
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\n" ); document.write( "If the c were not there y would equal ax^2+bx
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\n" ); document.write( "But when c is there y = ax^2+bx + c
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\n" ); document.write( "So, if c is positive, y is higher by \"c\".
\n" ); document.write( "That means all the points of the graph are raised.
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\n" ); document.write( "And, if c is negative, y is lower by \"c\".
\n" ); document.write( "That means all the points of the graph are lowered.
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\n" ); document.write( "So, c determines the vertical shift of the graph.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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