Question

If f(x) is a third degree polynomial function and g(x) = f(−2x), which of the following is NOT true?

F f(x) and g(x) have the same x-intercepts.
G f(x) and g(x) have the same y-intercept.
H f(2) = g(−1)
J f(x) and g(x) have the same
number of zeros.

Answer 1

F

Explanation:

F. False. The graph of
`g` involved performing a horizontal compression on the graph of
`f`.

G. True. Setting
`x=0` yields
`g(0)=f(0)`.

H. True. Set
`x=-1`.

J. True. The horizontal compression does not change the number of their roots, just the location.