Translations of Functions

Front

What is a translation of a function?

Back

A translation of a function is a shift of the graph of the function either up, down, left, or right without changing its shape.

Front

What does a translation to the right by 2 units look like?

Back

The graph of the function moves 2 units to the right on the x-axis.

Front

What does a translation down by 4 units indicate?

Back

The graph of the function moves 4 units down on the y-axis.

Front

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

Back

The new function is f(x + 2).

Front

If g(x) = f(x) - 4, what transformation occurs?

Back

The graph of f(x) is shifted down 4 units.

Front

What is the effect of translating a function up by 3 units?

Back

The graph of the function moves 3 units up on the y-axis.

Front

How does a translation to the left affect the function's equation?

Back

A translation to the left by 'h' units changes the function to f(x + h).

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is f(x) = |x|.

Front

Describe the transformation of g(x) = f(x) + 2.

Back

The graph of f(x) is shifted up 2 units.

Front

What happens to the graph of a function when it is translated right by 5 units?

Back

The graph moves 5 units to the right on the x-axis.