Function Transformation

Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

Front

What does the transformation w(x) = f(x - 7) represent?

Back

The graph of f(x) is shifted to the right by 7 units.

Front

What does the transformation h(x) = 1/5f(x) represent?

Back

The graph of f(x) is vertically compressed by a factor of 5.

Front

What does the transformation s(x) = 7f(x) represent?

Back

The graph of f(x) is vertically stretched by a factor of 7.

Front

What does the transformation h(x) = f(x) + 2 represent?

Back

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

Front

What type of function is defined by a linear equation?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Front

What is vertical compression in function transformations?

Back

Vertical compression occurs when the output values of a function are multiplied by a factor less than 1, making the graph flatter.

Front

What is vertical stretch in function transformations?

Back

Vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What does a negative sign in front of a function indicate?

Back

A negative sign indicates a reflection of the graph across the x-axis.

Front

What does the transformation f(x + 3) represent?

Back

The graph of f(x) is shifted to the left by 3 units.