Function Transformations

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 the function f(x) is shifted to the right by 7 units.

Front

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

Back

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

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x².

Front

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

Back

The graph of the function f(x) is vertically stretched by a factor of 2.

Front

What does the transformation m(x) = f(x + 1) represent?

Back

The graph of the function f(x) is shifted to the left by 1 unit.

Front

What is a vertical stretch in function transformations?

Back

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

Front

What is a vertical compression in function transformations?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What does a horizontal shift to the right mean in function transformations?

Back

A horizontal shift to the right means that the entire graph of the function moves to the right along the x-axis.

Front

What does a horizontal shift to the left mean in function transformations?

Back

A horizontal shift to the left means that the entire graph of the function moves to the left along the x-axis.