Explain why the graph is y≥x²+2
Answer briefly
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Explain why the graph is y≥x²+2 Answer briefly
Explain why the graph is y≥x²+2
Answer briefly
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Answer:
SOLUTION
Factor out −1, and obtain
y = −x2 − 6x − 8
y = −[(x + 3)2 − 9 + 8] (Complete the square)
y = −[(x + 3)2 − 1]
y = −(x + 3)2 + 1.
Hence the vertex is at (−3, 1). To find the x-intercepts, we set and so
0 = −(x + 3)2 + 1
(x + 3)2 = 1
x + 3 = 1 or x + 3 = −1
x = −2 or x = −4
When x = 0, y = −8.
Step-by-step explanation:
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