document.write( "Question 1141288: f(x) = 5x^2 − 10x + 7\r
\n" ); document.write( "\n" ); document.write( "Rewrite the function in
\n" ); document.write( "f(x) = a(x − h)2 + k
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Algebra.Com's Answer #761810 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "(1) Factor the leading coefficient out of the x^2 and x terms to get x^2 by itself.
\n" ); document.write( " $\"5%28x%5E2-2x%29%2B7\"$

\n" ); document.write( "(2) Complete the square by adding 1 inside the parentheses; add the appropriate constant outside the parentheses to keep the expression balanced.
\n" ); document.write( " $\"5%28x%5E2-2x%2B1%29%2B7-5\"$

\n" ); document.write( "(3) Write the quadratic as the square of a binomial; combine constants.
\n" ); document.write( " $\"5%28x-1%29%5E2%2B2\"$ \n" ); document.write( "

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