Answer
Refer to the curve in Black in Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/38221cef-0999-496a-8eff-b4fab1468295/result_image/1506957432.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012042Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=1530fe37040e743eddece85ddafddc009c653386089d7798b080b92bc18e4c68)
Work Step by Step
For $y = 3x^2 - 2,$
when
$x = 2, y = 10;$
$x = 1, y = 1;$
$x = 0, y = -2;$
$x = -1, y = 1;$
$x = -2, y = 10$
As seen, $y = 3x^2 - 2$ is the vertical stretching of $y = x^2$ by 3 times and then with a vertical translation of 2 units down.
Domain = $(−\infty, \infty)$
Range = $[-2, \infty)$