Translations of Functions Flashcard 6th Period

Front

What is the equation for the translation of f(x)=|x| that moves left 8 units and up 3 units?

Back

f(x) = |x + 8| + 3

Front

What is the effect of a vertical translation of a function?

Back

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

Front

What is the equation for the translation of f(x)=|x| that moves left 10 units and down 1 unit?

Back

f(x) = |x + 10| - 1

Front

Describe the transformation of the graph y = (x)^2 + 6.

Back

Up 6

Front

What does a positive value added to a function indicate?

Back

It indicates a vertical translation upwards.

Front

What does a negative value subtracted from a function indicate?

Back

It indicates a vertical translation downwards.

Front

What is the equation for the translation of f(x)=|x| that moves right 5 units and down 2 units?

Back

f(x) = |x - 5| - 2

Front

Describe the transformations of the graph y = (x - 3)^2 - 2.

Back

Right 3, Down 2

Front

What is the effect of a horizontal translation of a function?

Back

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

Front

What does a positive value subtracted from x in a function indicate?

Back

It indicates a horizontal translation to the right.