If you subtracted 3 from the exponent in an exponential function, what would happen to the graph?

Question

Responses
A It would move up 3It would move up 3
B It would move down 3It would move down 3
C It would move to the left 3It would move to the left 3
D It would move to the right 3

Answer 1

When you subtract 3 from the exponent in an exponential function of the form \( f(x) = a \cdot b^{(x - c)} \), where \( c \) is a constant, you are effectively shifting the graph to the right by 3 units. This is because the transformation involves \( f(x - 3) \), which means the entire function is evaluated at \( x - 3 \).

Therefore, the correct response is:

D It would move to the right 3.