Parent Functions and Transformations

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for creating more complex functions through transformations.

Front

What is the parent function of a quadratic function?

Back

Front

What is the parent function of an absolute value function?

Back

Front

What does it mean to translate a graph to the right?

Back

Translating a graph to the right means shifting the graph horizontally in the positive x-direction.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means flipping the graph upside down, changing the sign of the y-values.

Front

What is a vertical stretch 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

Back

Front

What is the effect of shifting a graph down?

Back

Shifting a graph down means decreasing the y-values by a certain amount, moving the graph lower on the coordinate plane.

Front

How do you represent a reflection over the x-axis in an equation?

Back

Front

Back

The transformation is a shift right 15 units and down 3 units.