SOLUTION: Find the maximum or minimum of: f(x) = x2 + 4x + 4. What is the value of x that produces the maximum (or minimum)?

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Question 459952: Find the maximum or minimum of: f(x) = x2 + 4x + 4. What is the value of x that produces the maximum (or minimum)?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
First we write the equation of the Parabola in standard form:
f%28x%29=a%28x-h%29%5E2%2Bk+,where (h, k) is the vertex of the Parabola.
In our case we have: f%28x%29=%28x%2B2%29%5E2%2B0, and the vertex is (-2, 0).
The value of x that produces the minimum is x=-2 and the value of the minimum is f(-2)=0. See the graph below:
graph%28300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2%2B4x%2B4%29.