The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)? A. g(x) = f(x - 5)

B. g(x) = f(x) - 2

C. g(x) = f(x + 2)

D. g(x) = f(x) - 5

  D. g(x) = f(x) - 5

Step-by-step explanation:

To move the intercept to -2, one needs to translate the function down by 5 or left by 5. The first translation (down 5) would result in ...

  g(x) = f(x) - 5 . . . . . . matches choice D

The second translation (left 5) would result in ...

  g(x) = f(x+5) . . . . doesn't match any available choice