document.write( "Question 606858: Consider a quadratic function that has a minimum value of -6, and x-intercepts at (-6,0) and (0,0).
\n" ); document.write( "A)Determine the equation of the quadratic function. Show or explain your work.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "....please help me! I really want to understand how to do this. I'm not sure how and what the answer would be.
\n" ); document.write( "

Algebra.Com's Answer #382289 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Consider a quadratic function that has a minimum value of -6, and x-intercepts at (-6,0) and (0,0)
\n" ); document.write( "---------
\n" ); document.write( "Plot the x-intercepts
\n" ); document.write( "Since the minimum y-value is -6
\n" ); document.write( "the vertex must be at (-3,-6)
\n" ); document.write( "=============================
\n" ); document.write( "y = a(x-0)(x-(-6))
\n" ); document.write( "Solve for \"a\":
\n" ); document.write( "-6 = a(-3)(-3+6)
\n" ); document.write( "----
\n" ); document.write( "-6 = a(-3)(3)
\n" ); document.write( "a = 6/9 = 2/3
\n" ); document.write( "----
\n" ); document.write( "y = (2/3)x(x+6)
\n" ); document.write( "-----
\n" ); document.write( "y = (2/3)(x^2+6x)
\n" ); document.write( "-
\n" ); document.write( "y = (2/3)x^2 + 4x
\n" ); document.write( "========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "========================\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );