Which of the following statements best describes the effects on the graph of f(x)=2x

Question

when it is replaced by f(x−c)
and the value of c is greater than zero?(1 point)
Responses

The exponential function undergoes a horizontal shift right −c
units.
The exponential function undergoes a horizontal shift right negative c units.

The exponential function undergoes a horizontal shift right c
units.
The exponential function undergoes a horizontal shift right c units.

The exponential function undergoes a horizontal shift left c
units.
The exponential function undergoes a horizontal shift left c units.

The exponential function undergoes a horizontal shift left −c
units.
The exponential function undergoes a horizontal shift left negative c units.

Answer 1

When the function \( f(x) = 2x \) is replaced by \( f(x - c) \) with \( c > 0 \), it undergoes a horizontal shift.

To analyze this, note that:

• Replacing \( x \) with \( x - c \) in the function results in shifting the graph to the right by \( c \) units.

So the correct statement is:

The exponential function undergoes a horizontal shift right \( c \) units.