Transformation of Graphs

Front

What is a reflection over the x-axis in graph transformations?

Back

A reflection over the x-axis occurs when the y-values of a function are multiplied by -1, flipping the graph upside down.

Tags

CCSS.HSF.BF.B.3

Front

What is a reflection over the y-axis in graph transformations?

Back

A reflection over the y-axis occurs when the x-values of a function are replaced with their opposites, flipping the graph horizontally.

Tags

CCSS.HSF.BF.B.3

Front

What does a vertical stretch mean in graph transformations?

Back

A vertical stretch occurs when the y-values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What does a vertical compression mean in graph transformations?

Back

A vertical compression occurs when the y-values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What does a horizontal stretch mean in graph transformations?

Back

A horizontal stretch occurs when the x-values of a function are multiplied by a factor greater than 1, making the graph wider.

Front

What does a horizontal compression mean in graph transformations?

Back

A horizontal compression occurs when the x-values of a function are multiplied by a factor between 0 and 1, making the graph narrower.

Front

How do you translate a graph left or right?

Back

To translate a graph left, subtract from the x-value (e.g., f(x + c)). To translate it right, add to the x-value (e.g., f(x - c)).

Front

How do you translate a graph up or down?

Back

To translate a graph up, add to the y-value (e.g., f(x) + c). To translate it down, subtract from the y-value (e.g., f(x) - c).

Front

What is the parent function of absolute value?

Back

Front

What is the effect of the coefficient in front of the absolute value function?

Back

A positive coefficient stretches the graph vertically, while a negative coefficient reflects it over the x-axis.