Answer
See below
Work Step by Step
Obtain: $y=-2[x^2+x+4.5]\\y=-2[x^2+x+0.25+4.25]\\y=-2[(x+0.5)^2+4.25]\\y=-2(x+0.5)^2-8.5$
The vertex is $(0.5,-8.5)$
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.