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 (x3) 2 +4
(b) f(x)=3 (x4) 2 +10
(c) f(x)=3 (x+2) 2 9
(d) f(x)=8+2 (x+5) 2