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REY [17]
4 years ago
13

.Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x

Mathematics
1 answer:
inna [77]4 years ago
8 0

For this case we have the following functions:

F (x) = 3x ^ 2 +1\\G (x) = 2x-3\\H (x) = x

We have to:

G (x) * - 1 is given by:

(2x-3) * - 1 = -2x +3

Thus, the correct option is the option is A.

On the other hand,

F (x) +G (x) = 3x ^ 2 +1 +(2x - 3) = 3x ^ 2+ 1+ 2x-3 = 3x ^ 2 +2x-2

Thus, the correct option is the option is A.

We also have:

F (-2) = 3 (-2) ^ 2+ 1 = 3 (4)+ 1 = 12+ 1 = 13

Thus, the correct option is the option is B.

Last we have:

F (3)+G (4) -2H (5) = (3 (3) ^ 2+ 1)+ (2 (4) -3) -2 (5) = (3 (9)+ 1) - (8-3) 10 = 28+ 5-10 = 33

Thus, the correct option is the option is C.

ANswer:

Option A, A, B, C

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A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

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<u>Now, let's check each of the options:</u>

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This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

<u>g(x) = |x-4| - 2 :</u>

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

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This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)


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