Question

F(x) = 2x, which of the following shows the graph of f(x) = 2(x – 2)?

Answer 1

Step-by-step explanation:

First, let us graph the function f(x)=2x. The graph would then look like this:

Now, the function f(x)=2(x-2) indicates that there is a horizontal shift of 2. When doing horizontal shifts, the direction of the shift is the opposite of the sign in the equation.

Since we subtracted 2, this would mean that the shift would be positive 2, which means we will move the graph 2 units to the right:

The answer would then be