document.write( "Question 1196808: Sketch the following functions by first solving for the x intercepts using the quadratic formula. If there are no x intercepts then use the method explained in class...this makes use of the fact that raising or lowering a parabola by some amount does not change the x coordinate of the vertex. So...remove the constant from the right side, factor what's left to determine x intercepts. The average of those is the x coordinate of the vertex. Then substitute that back into the original equation to solve for the y coordinate of the vertex.
\n" ); document.write( "y = 3x^2+15x+30 AND y = -x^2+4x-8 \n" ); document.write( "

Algebra.Com's Answer #829816 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi\r\n" );
document.write( "Finding the Vertex Form of the EQ by completing the Square:\r\n" );
document.write( "y = 3x^2+15x+30  = 3(x^2 + 5x + 10) = 3((x+ 5/2)^2 -25/4 + 10) = 3(x+5/2)^2 + 45/4\r\n" );
document.write( "y = 3(x+5/2)^2 + 45/4  has V(-5/2, 45/4)\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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