What is the vertex of g(x) = 3x2 − 12x + 7?
(−6, −5)
(−2, −5)
(2, −5)
(6, −5)
1 answer:
Answer:
(2, -5)
Step-by-step explanation:
Convert to vertex form:
3x^2 - 12x + 7
= 3(x^2 - 4x) + 7
Completing the square:
= 3[ (x - 2)^2 - 4)] + 7
= 3(x - 2)^2 - 12 + 7
= 3(x - 2)^2 - 5.
Comparing with the general form
a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).
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Step-by-step explanation:
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Step-by-step explanation:
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