Answer
Please see the graph.
Work Step by Step
$y=-x^2+1$
vertex:
$x=-b/2a$
$x=-0/2*-1$
$x=0$
$y=-x^2+1$
$y=-0^2+1$
$y=0+1$
$y=1$
$(0,1)$
One other point on the line:
$x=1$
$y=-(1)^2+1$
$y=-1+1=0$
$(1,0)$
The vertex is labeled, and the axis of symmetry is the blue line.