Math, asked by nathenpardo, 4 days ago

Use function notation to describe the following transformation of f(x): Vertical compression by a factor of 10​

Answers

Answered by mayekararyan2010
0

Answer:

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}

8

1

, reflection over the x axis, up 6 and right 2.

Step 1:

Vertical compression by a factor \frac{1}{8}

8

1

, this means decreasing value of function by a factor of \frac{1}{8}

8

1

. Function becomes \frac{f(x)}{8}

8

f(x)

.

Step 2:

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

8

f(x)

.

Step 3:

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

8

−f(x)

+6 .

Step 4:

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

8

−f(x)

+6−2 which is 4 - \frac{f(x)}{8}4−

8

f(x)

.

Step-by-step explanation:

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