document.write( "Question 64443This question is from textbook algebra II
\n" ); document.write( ": This looks very vexing to me because I dont' understand it. Help!\r
\n" ); document.write( "\n" ); document.write( "Graph f(x) 3x^2-6x-1. plot at least 5 points.\r
\n" ); document.write( "\n" ); document.write( "Of those 5 points, state the vertex point, whether the vertex point is maximum or minimum and the equation of axis of symmetry. \n" ); document.write( "
Algebra.Com's Answer #45077 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Graph: \"f%28x%29+=+3x%5E2-6x-1\"
\n" ); document.write( "Here's the graph:
\n" ); document.write( "\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C3x%5E2-6x-1%29\"
\n" ); document.write( "The equation of the line of symmetry is given by:
\n" ); document.write( "\"x+=+-b%2F2a\" The a and the b come from the general form of the quadratic equation: \"ax%5E2%2Bbx%2Bc=0\"
\n" ); document.write( "In your equation, a = 3 and b = -6, so:
\n" ); document.write( "\"%28-b%29%2F2a+=+%28-%28-6%29%29%2F2%283%29\"
\n" ); document.write( "\"x+=+1\" is the equation of the line of symmetry.
\n" ); document.write( "Since the line of symmetry passes thrugh the vertex, you can find the coordinates of the vertex by substituting x = 1 into the quadratic equation and solving for y.
\n" ); document.write( "\"y+=+3x%5E2-6x-1\" Substitute x=1 and solve for y.
\n" ); document.write( "\"y+=+3%281%5E2%29-6%281%29-1\" Simplify.
\n" ); document.write( "\"y+=+-4\"
\n" ); document.write( "The vertex point is at (1, -4) Confirm this on the graph.
\n" ); document.write( "The graph shows that the vertex point is a minimum.
\n" ); document.write( "To find four more points to meet your requirement, simply choose four conveniently small values of x and substitute these, one-by-one into the quadratic equation and solve for four values of y.
\n" ); document.write( "Let x = 0 for point1.
\n" ); document.write( "\"y+=+3%280%5E2%29-6%280%29-1\"
\n" ); document.write( "\"y+=+-1\"
\n" ); document.write( "Point1 is (0, -1)
\n" ); document.write( "Let x = 1 for point2. You've got this one already, it's the vertex point (1, -4)
\n" ); document.write( "Let x = 2 for point3.
\n" ); document.write( "\"y+=+3%282%5E2%29-6%282%29-1\"
\n" ); document.write( "\"y+=+12-12-1\"
\n" ); document.write( "\"y+=+-1\"
\n" ); document.write( "Point3 is (2, -1)
\n" ); document.write( "I hesitate to deprive you of the pleasure of doing your own math so perhaps you can finish this yourself.
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