SOLUTION: Consider the quadratic function f(x) = x2 + 6x + 18. Determine whether there is a maximum or minimum value and find that value.

Question 367608: Consider the quadratic function f(x) = x2 + 6x + 18. Determine whether there is a maximum or minimum value and find that value.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi, 

*Note: the vertex form of a parabola,  where(h,k) is the vertex

f(x) = x^2 + 6x + 18

completing the square

f(x) =(x+3)^2 -9 + 18 = 1*(x+3)^2 + 9

 a = 1, a positive number, therefore parabola opens upward

vertex is (-3,9) this is a minimum value.

 

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