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il63 [147K]
3 years ago
10

What is the vertex of g(x) = 3x2 − 12x + 7? (−6, −5) (−2, −5) (2, −5) (6, −5)

Mathematics
1 answer:
34kurt3 years ago
4 0

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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