Mathematics
09.01.2023 01:40
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Which function results after applying the sequence of transformations to f(x)=x^5

Which function results after applying the sequence of transformations to f(x)=x^5

compress vertically by 1/2

shift left 2 units
shift down 1 unit
Which function results after applying the sequence of transformations to f(x)=x^5 compre
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cat216
cat216
4,6(27 marks)

The final function is g(x)=\dfrac{1}{2}(x+2)^5-1

A is correct

Step-by-step explanation:

Given: Parent function f(x)=x^5

We need to apply sequence of transformation.

Step 1: Compress vertically by 1/2

If function compress vertically number multiply by factor

f(x)=\dfrac{1}{2}x^5

Step 2: Shift 2 unit left

For left and right shift change in horizontal.

For a unit change , x-> x+a

f(x)=\dfrac{1}{2}(x+2)^5

Step 3: Shift 1 unit down

For up and down change in y value or vertically shift.

For down subtract 1 unit from function

f(x)=\dfrac{1}{2}(x+2)^5-1

Please see the attachment for transformation step by step.

Hence, The final function is f(x)=\dfrac{1}{2}(x+2)^5-1


Which function results after applying the sequence of transformations to f(x)=x^5 compress verticall
kokokakahi
kokokakahi
4,6(22 marks)

A is very correct

Step-by-step explanation:

ferg6
ferg6
4,6(59 marks)
21345644665475785866

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