document.write( "Question 830385: What is the vertex of y=(2x-3)(2x+1). I'm confused on what to do when there's a number in front of the x \n" ); document.write( "
Algebra.Com's Answer #500580 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
What is the vertex of y=(2x-3)(2x+1). I'm confused on what to do when there's a number in front of the x
\n" ); document.write( "
y = (2x - 3)(2x + 1)
\n" ); document.write( "\"y+=+4x%5E2+-+4x+-+3\" ------ FOILing the binomials
\n" ); document.write( "\"x+=+-+b%2F2a\" ------ Formula for the x-coordinate of the vertex, with:
\n" ); document.write( "a being + 4, and b being - 4
\n" ); document.write( "\"x+=+-+%28-+4%29%2F2%284%29\" ------- Determining x-coordinate of vertex
\n" ); document.write( "x, or x-coordinate of vertex = \"-+%28-+4%2F8%29\", or \"1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+4%281%2F2%29%5E2+-+4%281%2F2%29+-+3\" ----- Substituting \"1%2F2\" for x in quadratic equation
\n" ); document.write( "\"y+=+4%281%2F4%29+-+4%2F2+-+3\"
\n" ); document.write( "\"y+=+1+-+2+-+3\", or \"y+=+-+4\"
\n" ); document.write( "Vertex: (\"highlight_green%281%2F2%29\",\"highlight_green%28-+4%29\")
\n" ); document.write( "You can do the check!! \r
\n" ); document.write( "\n" ); document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. \n" ); document.write( "
\n" );