Transformations of Linear Functions

Front

What is a transformation of a linear function?

Back

A transformation of a linear function refers to changes made to the function's graph, such as shifts, stretches, or reflections.

Front

What does it mean to shift a graph to the right?

Back

Shifting a graph to the right means adding a positive value to the x-variable in the function's equation.

Front

What is the parent function of linear functions?

Back

The parent function of linear functions is f(x) = x, which represents a straight line through the origin with a slope of 1.

Front

How does the equation y = (x - 4) transform the parent function?

Back

It shifts the graph of the parent function 4 units to the right.

Front

What is the effect of the equation f(x) = x - 7 on the parent function?

Back

It shifts the graph of the parent function 7 units down.

Front

What does the equation y = f(x + 7) indicate about the transformation?

Back

It indicates a shift of the graph 7 units to the left.

Front

How does the equation y = (x) + 2 transform the parent function?

Back

It shifts the graph of the parent function 2 units up.

Front

What is a vertical translation in the context of graph transformations?

Back

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

Front

What does a horizontal translation do to a graph?

Back

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

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch increases the distance between points on the graph and the x-axis, making the graph taller.