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