transformations

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What does it mean to translate a function up?

Back

Translating a function up means adding a constant to the function's output, shifting the graph vertically upwards.

Front

What is the parent function of a linear equation?

Back

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

Front

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

Back

It translates the parent function up by 2 units.

Front

What is the effect of subtracting a constant from a function?

Back

Subtracting a constant from a function translates the graph down by that constant's value.

Front

What is the parent function of an absolute value equation?

Back

The parent function of an absolute value equation is f(x) = |x|.

Front

How does the equation y = |x - 5| transform the parent function?

Back

It translates the absolute value graph right by 5 units.

Front

What does the equation y = x - 2 represent in terms of transformations?

Back

It represents the parent function translated down 2 units.

Front

What is a vertical stretch in transformations?

Back

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

Front

What is a reflection in transformations?

Back

A reflection is a transformation that flips a graph over a line, such as the x-axis or y-axis.