Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e242d8c2-8aa5-4849-a6e4-5c906581d13a/result_image/1595160613.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T010808Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=832280a8e43d840d64a857422ef4a97d760cd3de44c39774bb1ac83e4c946a55)
Work Step by Step
We are given:
$y=\frac{2}{3}x^2$
Let's list some values:
$x=-2 \rightarrow y=\frac{8}{3}$
$x=-1 \rightarrow y=\frac{2}{3}$
$x=0 \rightarrow y=0$
$x=1 \rightarrow y=\frac{2}{3}$
$x=2 \rightarrow y=\frac{8}{3}$
Graph the function.
The vertex is (0, 0).