SOLUTION: Graph the polynomial function. f(x)=-3x(x+2)to the second power

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Question 22130: Graph the polynomial function.
f(x)=-3x(x+2)to the second power
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-3x%28x%2B2%29%5E2

This graph has roots (zeros or x-intercepts!) at x= 0 and at x= -2. If it were multiplied out, it would be basically a graph with degree (or order) of 3 and the leading coefficient is negative. This means that it will open up on the left, and down on the right, passing through the root at x= 0, and BOUNCING at x= -2, since (x+2) is raised to an even power (i.e., there is an even multiplicity of this root). All of this is theory of equations, but you can also graph it with a graphing calculator, and it should look like this:
graph%28300%2C300%2C+-6%2C+6%2C+-10%2C10%2C-3x%2A%28x%2B2%29%5E2%29+

R^2 at SCC