document.write( "Question 459952: Find the maximum or minimum of: f(x) = x2 + 4x + 4. What is the value of x that produces the maximum (or minimum)? \n" ); document.write( "

Algebra.Com's Answer #315431 by Gogonati(855) $\"\"$ $\"About$

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First we write the equation of the Parabola in standard form:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=a%28x-h%29%5E2%2Bk+\"$ ,where (h, k) is the vertex of the Parabola.\r
\n" ); document.write( "\n" ); document.write( "In our case we have: $\"f%28x%29=%28x%2B2%29%5E2%2B0\"$ , and the vertex is (-2, 0).\r
\n" ); document.write( "\n" ); document.write( "The value of x that produces the minimum is x=-2 and the value of the minimum is f(-2)=0. See the graph below:\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2%2B4x%2B4%29\"$ . \n" ); document.write( "

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