Posted by Nadia on .
how do you graph the function?
f(x)=2(x+2)^2(x+4)^2

Algebra 2 
Reiny,
visualize the function as
f(x) = 2(x+2)(x+2)(x+4)(x+4)
which would make it a fourth degree function.
Fourth degree functions tend to look like a "W" in their general form, anyway they "rise" into the first and second quadrants.
notice there are double roots at x=2 and x=4, so the curve 'touches' the xaxis at 2 and 4 without crossing
What does it do between 2 and 4?
Try x=3, f(3) = 2
try f(0), you get f(0) = 128
Can you see the "W" ?