Question

Which function results after applying the sequence of transformations to f(x) = x5?

stretch vertically by 3
reflect across the x-axis
shift right 1 unit
shift up 2 units
A. f(x) = -(3x - 1)5 - 2
B. f(x) = -3(x - 1)5 + 2
C. f(x) = 3(x5 - 1)5 + 2
D. f(x) = -3(x + 1)5 + 2

Answer 1

Answer: B

Step-by-step explanation:

Answer 2

The function results $f(x) = -3(x - 1)5 + 2$  after applying a sequence of transformations $f(x) = x^5$.

We have to determine, which function results after applying the sequence of transformations $f(x) = x^5$.

According to the question,

To find the sequence of the transformation of the given function following all the steps given below.

Function; $f(x) = x^5$

• Step1; Stretch vertically by 3 in the negative x-axis.

                   $f(x) = -3[(x )^5]$

• Step2; Reflect the function across the x-axis,

                   $f(x) = -3(x)^5$

• Step3; Shifting the function 1 unit right,

                    $f(x) = -3(x-1)^5$

• Step4; Shifting the function upward 2 units,

                    $f(x) = -3(x-1)^5 +2$

Hence, The function results $f(x) = -3(x - 1)5 + 2$  after applying a sequence of transformations $f(x) = x^5$.

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