Graphing Absolute Value of Functions

Front

What does the equation y = |x| - 7 represent in terms of graph movement?

Back

The graph slides down 7 units.

Front

Identify the equation of the graph that opens downwards and has a vertex at (1, -1).

Back

y = -|x-1|-1

Front

Identify the equation of the graph that has a vertex at (3, -2).

Back

y = |x-3|-2

Front

What is the vertex of the absolute value function y = |x|?

Back

(0, 0)

Front

What is the domain of the absolute value function y = |x|?

Back

(-infinity, infinity)

Front

What effect does the negative sign in front of the absolute value function have on its graph?

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the function y = -|x+2| + 3?

Back

(-2, 3)

Front

How does the graph of y = |x| + 4 differ from y = |x|?

Back

It shifts the graph up 4 units.

Front

What is the range of the absolute value function y = |x|?

Back

[0, infinity)

Front

What does the equation y = |x - 5| represent in terms of graph movement?

Back

The graph shifts right 5 units.