Example 1 : Finding the Maximum and Minimum points of Quadratic Function using completing the square

Example 1 

Find the maximum or minimum value of each of the following quadratic function by completing the squares.  In each case, state the value of x at which the function is maximum or minimum.  And also, state the maximum or minimum point and axis of symmetry for each case.

(a) f ( x ) = x 2 + 6 x + 7
(b) f ( x ) = 2 x 2 6 x + 7
(c) f ( x ) = 5 2 x x 2
(d) f ( x ) = 4 + 12 x 3 x 2







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