Practice Transformations of Functions

Front

What is the transformation represented by f(x) + 4?

Back

The graph of f(x) is shifted vertically upwards by 4 units.

Front

What is the transformation represented by f(x - 4)?

Back

The graph of f(x) is shifted horizontally to the right by 4 units.

Front

What does the transformation f(x + 4) represent?

Back

The graph of f(x) is shifted horizontally to the left by 4 units.

Front

What is the effect of the transformation -f(x)?

Back

The graph of f(x) is reflected over the x-axis.

Front

What does the transformation f(x) - 7 indicate?

Back

The graph of f(x) is shifted vertically downwards by 7 units.

Front

What is the transformation represented by 3f(x)?

Back

The graph of f(x) is vertically stretched by a factor of 3, making it narrower.

Front

What does the transformation f(2x) do to the graph of f(x)?

Back

The graph of f(x) is horizontally compressed by a factor of 1/2.

Front

What is the transformation represented by f(1/2x)?

Back

The graph of f(x) is horizontally stretched by a factor of 2.

Front

What does the transformation f(x) + c (where c > 0) represent?

Back

The graph of f(x) is shifted vertically upwards by c units.

Front

What does the transformation f(x) + c (where c < 0) represent?

Back

The graph of f(x) is shifted vertically downwards by |c| units.