Translations of Functions

Front

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

Back

Right 3, Down 2

Front

What change does a Translation Cause?

Back

A shift up, down, left, or right

Front

Describe the transformation of the graph y = (x)^3 + 6

Back

Up 6

Front

Describe the transformation from the Absolute Value Parent Function to y = |x| + 4

Back

Shift up 4 units

Front

Which equation below is a quadratic function translated up 5 units? y = x^2 + 5

Back

y = x^2 + 5

Front

What is a translation in the context of functions?

Back

A translation is a shift of a graph in a specific direction without changing its shape.

Front

If the function y = f(x) is translated left 2 units, what is the new function?

Back

y = f(x + 2)

Front

If the function y = f(x) is translated down 3 units, what is the new function?

Back

y = f(x) - 3

Front

What is the effect of a positive constant added to a function?

Back

It shifts the graph up.

Front

What is the effect of a negative constant subtracted from a function?

Back

It shifts the graph down.