3.2a 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






Correction for part (d) of the question,
when x + 5 = 0, x = -5
minimum point is (-5, -8)
Axis of symmetry, x = -5