Function Transformations

Front

What is a vertical stretch in function transformations?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, causing the graph to stretch away from the x-axis.

Front

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

Back

This transformation shifts the graph of f(x) to the left by c units if c is positive, and to the right if c is negative.

Front

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

Back

This transformation shifts the graph of f(x) up by d units if d is positive, and down if d is negative.

Tags

CCSS.HSF.BF.B.3

Front

What is a vertical compression in function transformations?

Back

A vertical compression occurs when a function is multiplied by a factor between 0 and 1, causing the graph to compress towards the x-axis.

Front

Describe the transformation k(x) = f(x) - 9.

Back

This transformation shifts the graph of f(x) down by 9 units.

Tags

CCSS.HSF.BF.B.3

Front

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

Back

This transformation shifts the graph of f(x) to the right by 7 units.

Front

What type of function is represented by the equation y = √x?

Back

This is a square root function.

Front

What is the effect of multiplying a function by a negative number?

Back

Multiplying a function by a negative number reflects the graph across the x-axis.

Front

What does the transformation f(-x) represent?

Back

This transformation reflects the graph of f(x) across the y-axis.

Tags

CCSS.HSF.BF.B.3

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.