Find the quadratic function satisfying the given conditions.
a) The graph is obtained by translating y =x^2 four units in the negative x-direction and three units in the positive y-direction.
b) The axis of symmetry is the line x=1. The y-intercept is 1. There is only one x-intercept.
c)For which value of c will the minimum value of the function f(x) = x^2 +2x +c be sqrt(2)?