On the equation x = loga (- x ^ 2 + 2x + a) of X, the number of solutions of (a > 0 and a not = 1) is A (0) B. 1 C 2 d change with a

On the equation x = loga (- x ^ 2 + 2x + a) of X, the number of solutions of (a > 0 and a not = 1) is A (0) B. 1 C 2 d change with a

B
The equation satisfies
f(x) = loga(-x^2+2x+a)
There is only one point of intersection with y = X