Function Transformations

Front

What is the transformation of g(x) = f(x + 3)?

Back

Left 3 units.

Front

What is the transformation of g(x) = f(x - 4)?

Back

Right 4 units.

Front

What is the transformation of g(x) = f(x) + 4?

Back

Shifted up 4 units.

Front

What is the transformation of g(x) = f(x) - 4?

Back

Shifted down 4 units.

Front

What is the transformation of g(x) = -f(x)?

Back

Reflect over the x-axis.

Front

What is the transformation of g(x) = f(-x)?

Back

Reflect over the y-axis.

Front

What is the transformation of g(x) = 5f(x)?

Back

Vertical stretch by a factor of 5.

Front

What is the transformation of g(x) = rac{1}{5}f(x)?

Back

Vertical compression by a factor of 5.

Front

What is the transformation of g(x) = f(x) + 10?

Back

Shifted up 10 units.

Front

What is the transformation of g(x) = f(x) - 10?

Back

Shifted down 10 units.