Day 1 Exponential Transformations

Front

What is a horizontal translation in exponential functions?

Back

A horizontal translation shifts the graph of the function left or right along the x-axis.

Front

What does the equation y = 2^(x+3) - 6 represent in terms of transformations?

Back

It represents a horizontal translation left 3 units and a vertical translation down 6 units.

Front

What is the horizontal asymptote of the function y = 2^x?

Back

The horizontal asymptote is y = 0.

Front

What is the effect of a vertical translation up 2 on the function y = 2^x?

Back

The new function will be y = 2^x + 2, shifting the graph up 2 units.

Front

What is the transformation represented by the equation y = 2^(x-1) + 4?

Back

It represents a horizontal translation right 1 unit and a vertical translation up 4 units.

Front

What is the vertical asymptote of the function y = 2^x - 3?

Back

The vertical asymptote is not applicable for exponential functions; they do not have vertical asymptotes.

Front

How does the transformation y = 2^(x) - 5 differ from y = 2^x?

Back

It represents a vertical translation down 5 units.

Front

What is the transformation for the function y = 2^(x+2) + 1?

Back

It represents a horizontal translation left 2 units and a vertical translation up 1 unit.

Front

What happens to the graph of y = 2^x when it is transformed to y = 2^(x-4)?

Back

The graph is shifted horizontally to the right by 4 units.

Front

What is the transformation for the function y = 2^(x) + 3?

Back

It represents a vertical translation up 3 units.