document.write( "Question 62437: I need some help with Graphing\r
\n" ); document.write( "\n" ); document.write( "Graph Y=2(x+3)(x-4)^2 and label all intercepts\r
\n" ); document.write( "\n" ); document.write( "thank you for your time
\n" ); document.write( "

Algebra.Com's Answer #43193 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Graph Y=2(x+3)(x-4)^2 and label all intercepts\r
\n" ); document.write( "\n" ); document.write( "The y-intercept is when x=0
\n" ); document.write( "y=2(0+3)(0-4)^2
\n" ); document.write( "y=2(3)(-4)^2
\n" ); document.write( "y=2(3)(16)
\n" ); document.write( "y=96 The y intercept is at (0,96), You're going to need a lot of graph paper, if you don't make it a different scale for your y's.
\n" ); document.write( ":
\n" ); document.write( "Your x-intercepts happen when y=0
\n" ); document.write( "0=2(x+3)(x-4)^2
\n" ); document.write( "0/2=2/2(x+3)(x-4)^2
\n" ); document.write( "0=(x+3)(x-4)^2
\n" ); document.write( "x+3=0 and x-4=0
\n" ); document.write( "x+3-3=0-3 and x-4+4=0+4
\n" ); document.write( "x=-3 and x=4
\n" ); document.write( "The x-intercepts are (-3,0) and (4,0) Plot those points.
\n" ); document.write( "You'll want to let x= something less than -3, like -4.
\n" ); document.write( "y=2(-4+3)(-4-4)^2
\n" ); document.write( "y=2(-1)(-8)^2
\n" ); document.write( "y=2(-1)(64)
\n" ); document.write( "y=-128 Plot (-4,-128) Plot that!
\n" ); document.write( "Now let x= somethin bigger than 4, like 5.
\n" ); document.write( "y=2(5+3)(5-4)^2
\n" ); document.write( "y=2(8)(1)^2
\n" ); document.write( "y=2(8)(1)
\n" ); document.write( "y=16 Plot (5,16)
\n" ); document.write( "You already have a point between -3 and 4, the y-intercept.
\n" ); document.write( "If you are graphing this on a graphing calculator, let x min=-10, x max=10, y min=-200, and y max=100
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-200%2C100%2C2%28x%2B3%29%28x-4%29%5E2%29\"
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( "
\n" ); document.write( "
\n" );