7.2 log & exp transformations

Front

What is a transformation in the context of graphing functions?

Back

A transformation refers to the changes made to the graph of a function, which can include shifts, reflections, stretches, and compressions.

Front

What does a right shift of 1 unit mean for a function's graph?

Back

The graph of the function moves 1 unit to the right along the x-axis.

Front

What does an upward shift of 5 units mean for a function's graph?

Back

The graph of the function moves 5 units up along the y-axis.

Front

What is the effect of a reflection across the x-axis on a function's graph?

Back

The graph of the function is flipped over the x-axis, changing the sign of the output values.

Front

Back

Front

Back

The graph is shifted left 1 unit and reflected across the x-axis.

Front

What is the effect of a reflection across the y-axis on a function's graph?

Back

The graph of the function is flipped over the y-axis, changing the sign of the input values.

Front

How does a vertical stretch by a factor of 2 affect a function's graph?

Back

The graph is stretched away from the x-axis, making it taller by a factor of 2.

Front

What does a horizontal compression by a factor of 2 mean for a function's graph?

Back

The graph is compressed towards the y-axis, making it narrower by a factor of 2.

Front

Back

This transformation results in a reflection across the x-axis.