Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/31b4c862-f775-4983-b82f-aa09f42c8439/result_image/1602418467.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001606Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=a7bebecb07d535ba145979ee585b140e8d8c9ff4abc8d41af627815e66a6a485)
Work Step by Step
We are given: $y=x^2-x-2$
$y=(x^2-x+\frac{1}{4})-\frac{1}{4}-2$
$y=(x-\frac{1}{2})^2-\frac{9}{4}$
Hence here, $a=1,h=\frac{1}{2},k=-\frac{9}{4}$
The vertex is $(\frac{1}{2},\frac{-9}{4})$
The axis of symmetry is: $x=\frac{1}{2}$
Make a list of values:
$x=0 \rightarrow y=-2$
$x=1 \rightarrow y=-2$
$x=2 \rightarrow y=0$
$x=-1 \rightarrow y=0$