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 translations, reflections, stretches, or compressions.

Front

What is the parent function of linear functions?

Back

The parent function of linear functions is y = x.

Front

What does a vertical translation of a graph mean?

Back

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

Front

If the graph of f(x) = x is shifted 4 units left, what is the new equation?

Back

f(x) = x + 4.

Front

What does a horizontal translation of a graph mean?

Back

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

Front

What is the effect of a vertical stretch on a linear function?

Back

A vertical stretch increases the steepness of the graph, making it rise or fall more sharply.

Front

How does the equation y = x - 7 transform the parent function?

Back

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

Front

What does a reflection over the x-axis do to a linear function?

Back

It flips the graph of the function upside down.

Front

If the graph of f(x) = x is reflected over the y-axis, what is the new equation?

Back

f(x) = -x.

Front

What is a vertical translation of 2 units up represented by in an equation?

Back

y = x + 2.