document.write( "Question 59403: f(x)= -2x^2+4x+1\r
\n" ); document.write( "\n" ); document.write( "Find the vertex and axis of symmetry of the graph of the function. \n" ); document.write( "

Algebra.Com's Answer #40698 by funmath(2933) $\"\"$ $\"About$

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$\"f%28x%29=-2x%5E2%2B4x%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "Find the vertex and axis of symmetry of the graph of the function.
\n" ); document.write( "When a quadratic equation is in standard form $\"f%28x%29=ax%5E2%2Bbx%2Bc\"$ , you can find the axis of symmetry and the x coordinate of the vertex with the formula $\"highlight%28x=-b%2F2a%29\"$
\n" ); document.write( "a=-2, b=4, c=1
\n" ); document.write( "The axis of symmetry and x coordinate of the vertex is:
\n" ); document.write( " $\"x=-%284%29%2F%282%28-2%29%29\"$
\n" ); document.write( " $\"x=%28%28-4%29%29%2F%28-4%29\"$
\n" ); document.write( " $\"highlight%28x=1%29\"$ is the axis of symmetry
\n" ); document.write( "Find f(1) to find the y coordinate of the vertex:
\n" ); document.write( " $\"f%281%29=-2%281%29%5E2%2B4%281%29%2B1\"$
\n" ); document.write( " $\"f%281%29=-2%281%29%2B4%2B1\"$
\n" ); document.write( " $\"f%281%29=-2%2B4%2B1\"$
\n" ); document.write( " $\"f%281%29=3\"$
\n" ); document.write( "The vertex is: (1,3)
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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