Example 1 : Finding the maximum/minimum and axis of symmetry of a quadratic function

Example 1

State the maximum or minimum value of   for each of the following quadratic function and state the value of x at which the function is maximum or minimum.  Find the maximum or minimum point and finally state axis of symmetry for each case.

(a) f ( x ) = 2 ( x 3 ) 2 + 4
(b) f ( x ) = 3 ( x 4 ) 2 + 10
(c) f ( x ) = 3 ( x + 2 ) 2 9
(d) f ( x ) = 8 + 2 ( x + 5 ) 2


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