Transformation of functions

Front

What is the transformation of the function y = f(x) when it is reflected over the x-axis?

Back

The transformation results in y = -f(x), which reflects the graph across the x-axis.

Front

Describe the transformation of the function y = f(x) + 3.

Back

The graph of y = f(x) is shifted up 3 units.

Front

What happens to the graph of y = f(x) when it is transformed to y = f(x - 2)?

Back

The graph of y = f(x) is shifted to the right by 2 units.

Front

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

Back

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

Front

How does the transformation y = f(x) - 5 affect the graph?

Back

The graph of y = f(x) is shifted down 5 units.

Front

What is the domain of the function y = f(x)?

Back

The domain is the set of all possible x-values for which the function is defined, often represented as (-∞, ∞) for polynomial functions.

Front

If y = f(-x), what transformation is applied to the graph of y = f(x)?

Back

The graph is reflected over the y-axis.

Front

What does the transformation y = -f(x) indicate about the graph of y = f(x)?

Back

The graph is reflected over the x-axis.

Front

What is the transformation of the function y = 2f(x)?

Back

The graph of y = f(x) is vertically stretched by a factor of 2.

Front

If y = f(3x), what transformation occurs to the graph of y = f(x)?

Back

The graph is horizontally compressed by a factor of 1/3.