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