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Alisiya [41]
3 years ago
7

Find the vertex for the following equation. y = 2x^2 - 4x + 5

Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

<h3>             (1, 3)</h3>

Step-by-step explanation:

y = 2x^2 - 4x + 5\\\\y = 2(x^2 - 2x) + 5\\\\y=2(\underline{x^2-2\cdot x\cdot1+1^2}-1^2)+5\\\\y=2\big[(x-1)^2-1\big]+5\\\\y=2(x-1)^2-2+5\\\\y=2(x-1)^2+3\quad\implies\quad vertex:\ (1\,,\ 3)

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