Absolute Value Functions and Graphs

Front

vertex

Back

The point where the two straight lines meet on an absolute value graph.

Front

axis of symmetry

Back

A vertical line (x = #) that goes through the vertex and divides the function into two identical halves.

Front

maximum value

Back

The y-value of the highest point on the graph of a function.

Front

minimum value

Back

The y-value of the lowest point on the graph of a function.

Front

This function has a minimum value of 2.

Back

f(x) = |x+1| + 2

Front

This function has a maximum value of 2.

Back

f(x) = -|x+1| + 2

Front

This function has its vertex at (2, 1).

Back

f(x) = |x-2| + 1

Front

This function has axis of symmetry x = 3.

Back

f(x) = 2|x-3|

Front

This function has a vertical shrink (compression) by a factor of 5.

Back

f(x) = 1/5|x-1| + 3

Front

This function has a horizontal shrink by a factor of 5.

Back

f(x) = |5x-1|