Answer
$\text{$y-$intercept: }
3$
Work Step by Step
Setting $x=0$ and then solving for $y$, then the $y-$intercept of the given equation, $
y=-x^2-2x+3
,$ is
\begin{array}{l}\require{cancel}
y=-(0)^2-2(0)+3
\\\\
y=-0+0+3
\\\\
y=3
.\end{array}
Hence, the $y-$intercept is
\begin{array}{l}\require{cancel}
\text{$y-$intercept: }
3
.\end{array}