Exponential Function Transformations

Front

What is the parent function of the exponential function y = 2^(x+1) - 3?

Back

y = 2^x

Front

What is the range of the function y = 2^(x+1) - 3?

Back

(0, ∞)

Front

What transformation occurs in the function y = 2^(x+1) - 3?

Back

Vertical Translation down 3

Front

Does the function y = -2^(x+1) - 3 represent growth or decay?

Back

Growth

Front

Does the function g(x) = (2/3)^x represent growth or decay?

Back

Decay

Front

What is the effect of a positive constant added to an exponential function?

Back

It results in a vertical translation upward.

Front

What is the effect of a negative constant subtracted from an exponential function?

Back

It results in a vertical translation downward.

Front

What does a horizontal translation of an exponential function involve?

Back

Shifting the graph left or right along the x-axis.

Front

What is the effect of a negative coefficient in front of an exponential function?

Back

It reflects the graph across the x-axis.

Front

What is the general form of an exponential function?

Back

y = a * b^(x - h) + k, where (h, k) is the translation.