document.write( "Question 60810: How does the graph of the quadratic function or the absolute value function change if you subtract something from them? \n" ); document.write( "

Algebra.Com's Answer #41764 by funmath(2933) $\"\"$ $\"About$

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How does the graph of the quadratic function or the absolute value function change if you subtract something from them?
\n" ); document.write( "They cause a vertical shift down that many units.
\n" ); document.write( "y=x^2 and y=x^2-3 are graphed below the -3 caused a vertical shift down 3 units
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Cx%5E2-3%29\"$
\n" ); document.write( "Y=|x| and y=|x|-3 are graphed below and the -3 caused the same vertical shift down three units.
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cabs%28x%29-3%29\"$
\n" ); document.write( ":
\n" ); document.write( "When the 3 is subtracted from the x it causes a horizontal shift to the right three units.
\n" ); document.write( "y=x^2 and y=(x-3)^2 are graphed below.
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\n" ); document.write( "y=|x| and y=|x-3| are graphed below.
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cabs%28x-3%29%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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