SAT Nonlinear functions Question

In the quadratic function $f(x)=a{x}^2+2x+c$ where a and c are constants, the graph of $y=f(x)$ in the xy-plane is a parabola that opens upward and has a vertex at $(h,k)$ where h and k are constants. If $k<0$ and $f(-5)=f(1)$, which of the following must be true? I. $c<0$ II. $a\ge 1$