document.write( "Question 54938: Find the least value of $\"+2x%5E2-4x%2B3+\"$ and the corresponding value of x \n" ); document.write( "

Algebra.Com's Answer #37118 by funmath(2933) $\"\"$ $\"About$

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Find the least value of $\"+2x%5E2-4x%2B3+\"$ and the corresponding value of x
\n" ); document.write( ":
\n" ); document.write( "Graphically, this is a parabola and it's least value would correspond to it's vertex.
\n" ); document.write( "The formula for finding the x value of the vertex of a parabola written in standard $\"highlight%28ax%5E2%2Bbx%2Bc%29\"$ form is $\"highlight%28x=-b%2F2a%29\"$ .
\n" ); document.write( "Your a=2, your b=-4, and your c=3
\n" ); document.write( "So the x value of the vertex is:
\n" ); document.write( " $\"x=-%28-4%29%2F%282%2A2%29\"$
\n" ); document.write( " $\"x=4%2F4\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Substitute that in for x and simplify to find the least value:
\n" ); document.write( " $\"2%281%29%5E2-4%281%29%2B3\"$
\n" ); document.write( " $\"2%281%29-4%281%29%2B3\"$
\n" ); document.write( " $\"2-4%2B3\"$
\n" ); document.write( " $\"1\"$
\n" ); document.write( "Here's what it looks like graphically, to illustrate my point:
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%5E2-4x%2B3%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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