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3 years ago

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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Answer:

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Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

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using a graphing tool

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see the attached figure

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step 3

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substitute in the formula

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