document.write( "Question 271628: How do you find the standard form, vertex, line of symmetry, and maximum or minimum values, and square the equation?\r
\n" ); document.write( "\n" ); document.write( "f(x)=x^2-2x-3 \n" ); document.write( "

Algebra.Com's Answer #199025 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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How do you find the standard form, vertex, line of symmetry, and maximum or minimum values, and square the equation?
\n" ); document.write( "f(x) = x^2 - 2x - 3
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\n" ); document.write( "The standard form: x^2 - 2x - 3 = 0
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\n" ); document.write( "Find the line of symmetry using x = -b/(2a); a=1; b= -2
\n" ); document.write( "x = $\"%28-%28-2%29%29%2F%282%2A1%29\"$
\n" ); document.write( "x = $\"2%2F2\"$
\n" ); document.write( "x = 1 is the line of symmetry
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\n" ); document.write( "Find the vertex, substitute 1 for x in the original equation
\n" ); document.write( "y = 1^2 -2(1) - 3
\n" ); document.write( "y = 1 - 2 - 3
\n" ); document.write( "y = -4
\n" ); document.write( "The vertex: x=1, y=-4 and it is minimum (coefficient of x^2 is positive)
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\n" ); document.write( "Squaring this equation (using long hand multiplication);
\n" ); document.write( "(x^2-2x-3)*(x^2-2x-3) = x^4 - 4x^3 - 2x^2 + 12x + 9 \n" ); document.write( "

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