document.write( "Question 27694: I have to put this equation y=x^2-2x-15 into this form y=a(x-h)^2+k. I have to find the line of symmetry. (h,k)=vertex I think you use complete the square technique. Please help. thanks \n" ); document.write( "

Algebra.Com's Answer #15071 by venugopalramana(3286) $\"\"$ $\"About$

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I have to put this equation y=x^2-2x-15 into this form y=a(x-h)^2+k.
\n" ); document.write( "MAKE A PERFECT SQUARE USING X^2 AND X TERMS.ADD AND SUBTRACT THE REQUIRED CONSTANT FOR THE PURPOSE.
\n" ); document.write( "Y=(X-1)^2-1-15=(X-1)^2-16...COMPARING WITH THE ABOVE
\n" ); document.write( "y=a(x-h)^2+k.
\n" ); document.write( "WE GET A=1 AND K=-16
\n" ); document.write( " I have to find the line of symmetry.
\n" ); document.write( "X-1=0 IS THE LINE OF SYMMETRY SINCE ON EITHER SIDE OF X=1,WE GET SYMMETRIC/SAME VALUES FOR Y..AT X=1+2=3..Y IS -12 AND AT X=1-2=-1 ALSO WE GET Y=-12
\n" ); document.write( " (h,k)=vertex I think you use complete the square technique.
\n" ); document.write( "YA ..THE VERTEX AS YOU SHOULD KNOW NOW IS AT X=1 AND AT X=1 ,Y=-16 .SO (1,-16) IS THE VERTEX
\n" ); document.write( "THE VCGRAPH WILL LOOK LIKE THIS
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-10%2C+20%2C+-20%2C+20%2C+x%5E2-2x-15+%29+\"$
\n" ); document.write( " Please help. thanks \n" ); document.write( "

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