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

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


Answer by nabla(475)   (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.

RELATED QUESTIONS

Please help me Form A linear equation in two variables and help me Discuss the slope or... (answered by nabla)
Please help me Form A logarithmic function and help me Discuss the slope or rate of... (answered by nabla)
please help me find the equation of a line in the form Ax + By m= C that passes through... (answered by josgarithmetic)
please help me find the equation of a line in the form Ax + By= C that passes through... (answered by josgarithmetic)
i dont understand linear equations and their graphs. i've been studying this chapter for... (answered by College Student)
can you please help me write a quadratic equation with the roots 0,3 (in standad form) (answered by stanbon)
please help me solve " what the slope-intercept form of of the equation of a line with... (answered by glabow)
please help me construct a quadratic equation with the solutions of sqr(3) and... (answered by solver91311)
Please help me find the equation of a line in the form Ax + By= C that passes through... (answered by josgarithmetic)