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3 years ago

What is the vertex of g(x)=3x3x^2-12x12x+7

Mathematics

1 answer:

CaHeK987 [17]3 years ago

5 0

Answer:

(2, -5)

Step-by-step explanation:

g(x) = 3x² − 12x + 7

Complete the square.

g(x) = 3 (x² − 4x) + 7

g(x) = 3 (x² − 4x + 4) + 7 − 3(4)

g(x) = 3 (x − 2)² + 7 − 12

g(x) = 3 (x − 2)² − 5

The vertex is at (2, -5).

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Given that y varies directly with x, therefore, we can write,

y∝x

y = kx

Also, y=3 and x=-3, therefore, the value of k can be written as,

3=k(-3)

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Now, the points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

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2 years ago

If f(x) is linear, f(− 1) = 9 , and f(2) =− 24, find f(x).

professor190 [17]

Answer: Equation of st line is Y= -9X + 141

Step-by-step explanation: Given Y= 24 when X = 13 and Y = 87 when X = 6

Let the equation be Y = mX + C

24 = m*13 +C

and 87 = m* 6 +C

Give m = -9 and C = 141

Equation of st line is Y= -9X + 141

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3 years ago

What is the vertex of g(x)=3x3x^2-12x12x+7 ​

What is the vertex of g(x)=3x3x^2-12x12x+7