document.write( "Question 316527: what is the vertex and x-intercepts of y = x^2 + 4x + 7 \n" ); document.write( "

Algebra.Com's Answer #226428 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square to get to vertex form.
\n" ); document.write( " $\"y=a%28x-h%29%5E2%2Bk\"$
\n" ); document.write( "where (h,k) is the vertex.
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\n" ); document.write( " $\"x%5E2+%2B+4x+%2B+7=%28x%5E2%2B4x%2B4%29%2B3\"$
\n" ); document.write( " $\"x%5E2+%2B+4x+%2B+7=%28x%2B2%29%5E2%2B3\"$
\n" ); document.write( "The vertex is (-2,3)
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\n" ); document.write( "Now set the equation equal to zero to solve for the zeros.
\n" ); document.write( " $\"%28x%2B2%29%5E2%2B3=0\"$
\n" ); document.write( " $\"%28x%2B2%29%5E2=-3\"$
\n" ); document.write( " $\"x%2B2=0+%2B-+sqrt%283%29i\"$
\n" ); document.write( " $\"x=-2+%2B-+sqrt%283%29i\"$ where $\"i=sqrt%28-1%29\"$ \n" ); document.write( "

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