document.write( "Question 145727: How do you find the vertex, axis of symmetry and graph: f(x) -x^2-6x+3, in the back of my math book it says the vertex is (-3,12) i keep getting (-3,-6) Thanx :) \n" ); document.write( "

Algebra.Com's Answer #106355 by Earlsdon(6294) $\"\"$ $\"About$

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Find the vertex and axis of symmetry:
\n" ); document.write( " $\"f%28x%29+=+-x%5E2-6x%2B3\"$
\n" ); document.write( "The equation of the axis of symmetry is:
\n" ); document.write( " $\"x+=+-b%2F2a\"$
\n" ); document.write( " $\"x+=+-%28-6%29%2F2%28-1%29\"$
\n" ); document.write( " $\"x+=+6%2F%28-2%29\"$
\n" ); document.write( " $\"x+=+-3\"$ Substitute this into the given function to find the vertex location.
\n" ); document.write( " $\"f%28-3%29+=+-%28-3%29%5E2-6%28-3%29%2B3\"$
\n" ); document.write( " $\"f%28-3%29+=+-9%2B18%2B3\"$
\n" ); document.write( " $\"f%28-3%29+=+12\"$
\n" ); document.write( "The vertex is at: (-3, 12)
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C5%2C-5%2C15%2C-x%5E2-6x%2B3%29\"$ \n" ); document.write( "

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