If someone could help me work through this problem I would appreciate it! Consider the quadratic function
$f(x) = a + (bx − 1)^2$
where $a, b$ are arbitrary constants.
(a) Find the minimum value of f and the x for which it is achieved.
(b) For what values of a and b will the equation $f(x) = 0$ have two real solutions? Thank you.