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valentina_108 [34]
3 years ago
12

Please Help! ASAP! f(x)=x^2. What is g(x)??????

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

Answer:

The first one

Step-by-step explanation:

g(x) = ax² + bx + c

Point (0,0):

0 = a.0² + b.0 + c

c = 0

Point (2,1):

1 = a.2² + b.2 + c

4a + 2b + c = 1

But c = 0. Then:

4a + 2b = 1

Another point: (- 2, 1):

1 = a.(- 2)² + b.(- 2) + c

4a - 2b = 1

{4a + 2b = 1

{4a - 2b = 1

4a + 2b = 4a - 2b

4a - 4a = - 2b - 2b

- 4b = 0

b = 0

4a + 2b = 1

4a + 2.0 = 1

4a = 1

a = 1/4

The formula is:

g(x) = (1/4)x²

I hope I've helped you.

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Answer:

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Step-by-step explanation:

For this problem, we must simply solve for x.  To do this, we will need equation operations, and the use of the distributive property.

Let's work this line by line until we have the value for x:

3{-x + (2x + 1)} = x - 1

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Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:

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3{-1} ?= -3

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Thus, we have found the solution for x to be equivalent to negative 2.

Cheers.

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