Transformations of Exponential Functions

Front

What is an exponential function?

Back

Front

What is the parent function of exponential functions?

Back

Front

What does a vertical translation of an exponential function do?

Back

A vertical translation shifts the graph of the function up or down without changing its shape.

Front

What does a horizontal translation of an exponential function do?

Back

A horizontal translation shifts the graph of the function left or right without changing its shape.

Front

What is a reflection in the context of transformations?

Back

A reflection flips the graph of the function over a specified axis, such as the x-axis or y-axis.

Front

Back

Front

Back

The function reflects over the x-axis, shifts left 3 units, and shifts down 6 units.

Front

What does the term 'vertical stretch' mean?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis, typically by multiplying the function by a factor greater than 1.

Front

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

Back

A negative coefficient reflects the graph over the x-axis.

Front

Back

The function is shifted down 5 units.