Choose all of the functions with the same y-intercept as f(x)

To determine which functions have the same y-intercept as ( f(x) ), we first need to understand what the y-intercept is. The y-intercept of a function ( f(x) ) is the value of ( f(0) ).

Let’s compute the y-intercepts of each function:

A. ( g(x) = x^2 – x )

( g(0) = 0^2 – 0 = 0 )

B. ( g(x) = x^2 – 2x + 1 )

( g(0) = 0^2 – 2(0) + 1 = 1 )

C. ( g(x) = x^2 – x + 2 )

( g(0) = 0^2 – 0 + 2 = 2 )

D. ( g(x) = (x – 2)x )

( g(0) = (0 – 2)(0) = 0 )

E. ( g(x) = (x – 2)(2x – 1) )

( g(0) = (0 – 2)(2(0) – 1) = (-2)(-1) = 2 )

F. ( g(x) = (2x + 1)(x + 1) )

( g(0) = (2(0