Question

Which transformation of the function f(x) = 3x4 − 2x + 3 shifts the function 5 units down and reflects it about the y-axis?
A. f(x) = 3x4 − 2x + 2
B. f(x) = 3x4 − 2x − 2
C. f(x) = 3x4 + 2x − 2
D. f(x) = -3x4 + 2x – 2

Answer 1

Answer:

C. f(x) = 3x^4 + 2x − 2

Step-by-step explanation:

To shift f(x) down 5 units   f(x) becomes f(x) -5

f(x) = 3x^4 − 2x + 3  becomes   f(x) = 3x^4 − 2x + 3  -5

                                                   f(x) = 3x^4 − 2x -2

To reflect about the y axis f(x) becomes f(x)  so we will replace x with -x

      f(x) = 3x^4 − 2x -2  becomes    f(x) = 3(-x)^4 − 2(-x) -2

                                                          f(x) = 3x^4 +2x-2

Answer 2

Answer:

answer is C

Step-by-step explanation:

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