Choose all of the functions with the same y-intercept as f(x).
A. g(x) = x² – x
B. g(x) = x² – 2x + 1
C. g(x) = x² – x + 2
D. g(x) = (x – 2)x
E. g(x) = (x – 2)(2x – 1)
F. g(x) = (2x + 1)(x + 1)
Choose all of the functions with the same y-intercept as f(x)
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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