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

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