Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e8041790-255c-4b0f-b26c-3bf329452847/result_image/1595156315.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021324Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=c720bb1f9b81bbb008da550c2a032bafe1eb99c37d3f9ca5ac8ea9cd8222b02d)
Work Step by Step
We are given: $y=1.5x^2$
Make a table of values.
$x=-2 \rightarrow y=6$
$x=-1 \rightarrow y=1.5$
$x=0 \rightarrow y=0$
$x=1 \rightarrow y=1.5$
$x=2 \rightarrow y=6$
The vertex is $(0,0)$. It is a minimum.
The domain is all real numbers. The range is $y \geq 0$.