Answer
See graph.
Work Step by Step
To obtain the graph of $y=3x^2+12x+5=3(x+2)^2-7$ from $y=x^2$, shift the curve $2$ unit(s) to the left, stretch vertically by a factor of 3, then shift $7$ unit(s) down. See graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7b6e9cf6-e11c-49ae-8f9b-e01eb3bf01b8/steps_image/small_1629642602.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015029Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3e1de9a76a0b5cc9ea157bafbdc125533d5d6706d73e668c9f494f75baa1930d)
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