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