Absolute Value Transformations

Front

What is the transformation for the function: y = -3|x| ?

Back

opens down and stretched

Front

Describe the transformation of the equation below from the parent function of y = |x|: y = |x| + 3

Back

Up 3

Front

What is the parent function for absolute values?

Back

y = |x|

Front

What is the transformation for the function: y = |x| + 10 ?

Back

Shifted up 10

Front

How does the following move from the parent function y = |x|: y = 1/2|x| + 3

Back

Opens Up, Wider, Shift up

Front

What does the absolute value function |x| represent graphically?

Back

The distance of x from 0 on the number line.

Front

What effect does a negative sign in front of the absolute value function have?

Back

It reflects the graph across the x-axis.

Front

How does the coefficient in front of |x| affect the graph?

Back

It stretches or compresses the graph vertically.

Front

What is the transformation for the function: y = |x - 4| ?

Back

Shifted right 4

Front

What is the transformation for the function: y = |x + 2| ?

Back

Shifted left 2