Answer
See graph (red curve).
Work Step by Step
To obtain the graph of $y=2(x+1)^2+4$ from $y=x^2$, shift the curve 1 unit(s) to the left, stretch vertically by a factor of 2, then shift 4 units up. See graph (red curve).
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.