Question

Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?

The graph shifts 1 unit left.


The graph shifts 5 units left.


The graph shifts 5 units right.


The graph shifts 1 unit right.

Answer 1

The 2x is common in both functions.
However, if you looked at g(x), you will find that g(x) has decreased from +2 to -3 with a decrease of 5 units.
This means that any value put in g(x) will be 5 units less than its correspondent in f(x).
Therefore, your graph will be shifted 5 units right