Transformations of Absolute Value Functions

Front

What is the domain of the absolute value function?

Back

(-∞, ∞)

Front

Given y = |x|; find the domain.

Back

(-∞, ∞)

Front

What is the vertex of the function y = -4|x + 2| + 5?

Back

(-2, 5)

Front

Evaluate the expression: |–5 + 1|

Back

4

Front

What is absolute value?

Back

The distance of a number from zero.

Front

What does the graph of y = |x| look like?

Back

A V-shaped graph opening upwards.

Front

How does the graph of y = -|x| differ from y = |x|?

Back

It opens downwards instead of upwards.

Front

What is the effect of a positive constant added to |x|?

Back

It shifts the graph upwards.

Front

What is the effect of a negative constant subtracted from |x|?

Back

It shifts the graph downwards.

Front

What happens to the graph of y = |x - 3|?

Back

It shifts the graph of y = |x| to the right by 3 units.