Parent Function Translations

Front

What is a parent function?

Back

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

Front

What does a right shift of a function mean?

Back

A right shift means that the graph of the function moves horizontally to the right by a certain number of units.

Front

What does a left shift of a function mean?

Back

A left shift means that the graph of the function moves horizontally to the left by a certain number of units.

Front

What does a vertical shift up of a function indicate?

Back

A vertical shift up indicates that the graph of the function moves upward by a certain number of units.

Front

What does a vertical shift down of a function indicate?

Back

A vertical shift down indicates that the graph of the function moves downward by a certain number of units.

Front

How does the equation y = (x - 1)² - 4 transform the parent function y = x²?

Back

This equation represents a right shift of 1 unit and a downward shift of 4 units from the parent function.

Front

What transformation is represented by g(x) = 2x + 4 if f(x) = 2x?

Back

This transformation represents a vertical shift up by 4 units.

Front

Describe the transformation from f(x) = x³ to g(x) = (x - 3)³ - 2.

Back

This transformation involves a right shift of 3 units and a downward shift of 2 units.

Tags

CCSS.HSF.BF.B.3

Front

If the parent function is f(x) = √(x), what does the translation left 2 units mean?

Back

It means the graph of the function shifts horizontally to the left by 2 units.

Tags

CCSS.HSF.BF.B.3

Front

What is the effect of a horizontal compression on a function?

Back

A horizontal compression makes the graph of the function narrower, effectively speeding up its growth.