document.write( "Question 595761: Use the function y=a(x+3)(2x+18). What are the x-intercepts of the function's graph? What are the coordinates of the graph's vertex? \n" ); document.write( "
Algebra.Com's Answer #377284 by lwsshak3(11628)\"\" \"About 
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Use the function y=a(x+3)(2x+18). What are the x-intercepts of the function's graph? What are the coordinates of the graph's vertex?
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\n" ); document.write( "y=a(x+3)(2x+18)
\n" ); document.write( "distribute
\n" ); document.write( "y=a(2x^2+24x+54)
\n" ); document.write( "y=a(x^2+12x+27)
\n" ); document.write( "y=a(x+3)(x+9)
\n" ); document.write( "solve for x-intercepts
\n" ); document.write( "set y=0
\n" ); document.write( "x+3=0
\n" ); document.write( "x=-3
\n" ); document.write( "and
\n" ); document.write( "x+9=0
\n" ); document.write( "x=-9
\n" ); document.write( "..
\n" ); document.write( "x-intercepts: -3 and -9
\n" ); document.write( "..
\n" ); document.write( "Finding coordinates of vertex
\n" ); document.write( "y=a(x^2+12x+27)
\n" ); document.write( "complete the square (assume a=1)
\n" ); document.write( "y=(x^2+12x+36)+27-36
\n" ); document.write( "y=(x+6)^2-9
\n" ); document.write( "Vertex:(-6,-9)\r
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