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Answers & Comments
Verified answer
y = -(x^2 + 6x + 9) = -(x + 3)^2
vertex: (-3, 0)
y = -x² - 6x - 9
Convert to vertex form.
regroup terms
y = (-x² - 6x) - 9
factor out leading coefficient
y = -1(x² + 6x) - 9
complete the square
y = -1(x² + 6x + 3²) - 9 + 3²
y = -1(x + 3)² + 0
This is the equation of a down-opening parabola.
The vertex is (-3, 0)
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