Transformations of Linear Functions

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much the output value (y) changes for a unit change in the input value (x).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

Front

What is a vertical translation of a function?

Back

A vertical translation occurs when a constant is added to or subtracted from a function, shifting the graph up or down without changing its shape.

Front

Back

Front

What is a vertical stretch of a function?

Back

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

Front

Back

Front

What is a vertical compression of a function?

Back

A vertical compression occurs when the output of a function is multiplied by a factor between 0 and 1, making the graph shorter and less steep.

Front

Back

Front

What is a horizontal translation of a function?

Back

A horizontal translation occurs when the input of a function is adjusted by adding or subtracting a constant, shifting the graph left or right.