document.write( "Question 465873: Hi I'm working on a take home test right now & i need your help!
\n" ); document.write( "my problem is \"+h%28x%29=%28x%2B3%29%5E2-4+\"
\n" ); document.write( "i believe iv found ..
\n" ); document.write( "Vertex: (-3,4)
\n" ); document.write( "axis of symmetry: -3
\n" ); document.write( "y-intercept: (0,5)
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\n" ); document.write( "Domain: all real #s
\n" ); document.write( "..but im not sure my answers are right ..?
\n" ); document.write( "and im not sure on how to find the x-intercept and the range!? could someone please help me.. \n" ); document.write( "
Algebra.Com's Answer #319265 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You have the vertex and y-intercept wrong.\r\n" );
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document.write( "Here is the model to follow:\r\n" );
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document.write( "f(x) = a(x - h)² + k \r\n" );
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document.write( "has:\r\n" );
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document.write( "vertex: (h,k)\r\n" );
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document.write( "axis of symmetry: x = h\r\n" );
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document.write( "y-intercept: (0,ah²+k)\r\n" );
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document.write( "Domain: all real numbers (-∞, ∞)\r\n" );
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document.write( "Range: \r\n" );
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document.write( "if a > 0, range is [k, ∞)\r\n" );
document.write( "if a < 0, range is (-∞, k]\r\n" );
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document.write( "x-intercepts\r\n" );
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document.write( "a(x - h)² + k = 0\r\n" );
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document.write( "    a(x - h)² = -k\r\n" );
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document.write( "     (x - h)² = -k/a\r\n" );
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document.write( "        x - h = ±Ö-k/a\r\n" );
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document.write( "                     ____\r\n" );
document.write( "            x = h ± Ö-k/a\r\n" );
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document.write( "x intercepts are:\r\n" );
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document.write( "      (x - h - Ö-k/a, 0)\r\n" );
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document.write( "and \r\n" );
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document.write( "                ____\r\n" );
document.write( "      (x - h + Ö-k/a, 0)\r\n" );
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document.write( "Now substitute the proper numbers for a, h, k, in all those. \r\n" );
document.write( "[Don't let the clashing notation of h and h(x) confuse you, \r\n" );
document.write( "they are not the same at all. To avoid confusion use H(x) \r\n" );
document.write( "instead of h(x)].\r\n" );
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document.write( "Edwin
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