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) $f(x)=-8+2{(x+5)}^2$