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barxatty [35]
3 years ago
11

Write the function notation for the transformation that would change f(x) to have a vertical

Mathematics
1 answer:
koban [17]3 years ago
6 0

Function is 4 - \frac{f(x)}{8}.

<u>Step-by-step explanation:</u>

We have a function notation for the transformation that would change f(x) to have a vertical  compression by a factor of \frac{1}{8}, reflection over the x axis, up 6 and right 2.

<u>Step 1:</u>

Vertical compression by a factor \frac{1}{8} , this means decreasing value of function by a factor of  \frac{1}{8}. Function becomes \frac{f(x)}{8}.

<u>Step 2:</u>

Reflection over x-axis means rotating f(x) by 180° over origin . Function now is -\frac{f(x)}{8}.

<u>Step 3:</u>

Up 6 , means value of function is increased by 6 , Function now is \frac{-f(x)}{8}  + 6.

<u>Step 4:</u>

Right 2, means shifting function to 2 units on right side i,e, on x-axis.

∴Function finally becomes, \frac{-f(x)}{8} +6 - 2 which is 4 - \frac{f(x)}{8}.

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Answer:

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Step-by-step explanation:

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For option C, we have

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For option D, we have

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3 years ago
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