Answer
See the graph
Work Step by Step
We are given:
$y=-x^2+1$
Let's list some values:
$x=-2 \rightarrow y=3$
$x=-1 \rightarrow y=0$
$x=0 \rightarrow y=1$
$x=1 \rightarrow y=0$
$x=2 \rightarrow y=3$
The x-coordinate of the vertex is given by $x=\frac{-b}{2a}=0$
Find the y-coordinate of the vertex $y=-0^2+1=1$
Hence, the vertex is $(0, 1)$.
