Answer:
Explanation:
f(x) = -2(x + 2)² - 11
f(x) = -2[(x)² + 2(x)(2) + (2)²] - 11
f(x) = -2(x² + 4x + 4) - 11
Distribute
f(x) = -2x² - 8x - 8 - 11
Given the vertex equation:
First, apply the perfect square formula, expanding to standard form:
Expand -2 in:
Evaluate or simplify:
Hence,
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