Transformations of Linear Functions

Front

What is a transformation of a linear function?

Back

A transformation of a linear function refers to any change made to the function's graph, including translations, reflections, stretches, and compressions.

Front

What is the parent function of linear functions?

Back

The parent function of linear functions is y = x.

Front

What happens to the graph of f(x) when it is replaced with f(x) + 2?

Back

The graph of f(x) shifts vertically up by 2 units.

Front

How does the graph of f(x) change when it is replaced with f(x - 3)?

Back

The graph of f(x) shifts horizontally right by 3 units.

Front

What is a vertical translation?

Back

A vertical translation moves the graph of a function up or down without changing its shape.

Front

What is a horizontal translation?

Back

A horizontal translation moves the graph of a function left or right without changing its shape.

Front

What does a reflection across the x-axis do to the graph of a function?

Back

A reflection across the x-axis flips the graph of the function over the x-axis.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when the graph of a function is pulled away from the x-axis, making it taller.

Front

What is a vertical compression?

Back

A vertical compression occurs when the graph of a function is pushed towards the x-axis, making it shorter.

Front

How does the equation y = f(x + 5) affect the graph of f?

Back

The graph of f shifts horizontally left by 5 units.