document.write( "Question 254298: Find vertex and y-intercept of the equation y=0.5x^2+6x+10 \n" ); document.write( "

Algebra.Com's Answer #186646 by drk(1908) $\"\"$ $\"About$

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here is the equation:
\n" ); document.write( " $\"y=0.5x%5E2%2B6x%2B10\"$
\n" ); document.write( "step 1 - factor .5 out of the first two terms like this:
\n" ); document.write( " $\"y=0.5%28x%5E2%2B12x%2B+_____%29+%2B+10+-+______\"$
\n" ); document.write( "The blanks are waiting for numbers as you complete the square.
\n" ); document.write( "step 2 - take 1/2 of the middle term and put that answer in the first blank. LIke this:
\n" ); document.write( " $\"y=0.5%28x%5E2%2B12x%2B+6%5E2%29+%2B+10+-+______\"$
\n" ); document.write( "step 3 - multiply 36 by 1/2 to get 18. put this in the second blank. Notice the sign.
\n" ); document.write( " $\"y=0.5%28x%5E2%2B12x%2B+6%5E2%29+%2B+10+-+18\"$
\n" ); document.write( "step 4 - rewrite the first (_) as a quantity squared and simplify that last 2 numbers as
\n" ); document.write( " $\"y=0.5%28x%2B6%29%5E2+-+8\"$
\n" ); document.write( "This is in vertex form.
\n" ); document.write( "The vertex is (-6, -8)
\n" ); document.write( "Y-intercept is when x = 0.
\n" ); document.write( "(0,10) \n" ); document.write( "

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