SOLUTION: Please help me Form A quadratic equation and help me Discuss the slope or rate of change

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Question 145945: Please help me Form A quadratic equation and help me Discuss the slope or rate of change


Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^2+2x+1

This can also be factored as f(x)=(x+1)^2.
Moreover, the vertex is at (-1,0), y intercept at f(0)=1.

The slope will be f'(x)=2x+2=2(x+1). Thus, the slope is negative until -1 and positive after -1. The further away you go from -1 in either direction, the faster the function will be growing.