Match Absolute Value Graphs and Equations

Front

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

Back

All Real Numbers

Front

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

Back

A V-shaped graph that opens upwards with the vertex at the origin (0,0).

Front

How do you write the equation for the absolute value function shifted down by 4 units?

Back

y = |x| - 4

Front

What is the effect of adding a constant outside the absolute value function?

Back

It shifts the graph vertically. Positive values shift up, negative values shift down.

Front

What does the inequality f(x) ≥ |x - 6| + 8 represent graphically?

Back

The region above the graph of the function |x - 6| + 8.

Front

How do you determine the shading for the inequality y > |x + 1| - 2?

Back

Shade above the graph of the function.

Front

What is the vertex of the graph of y = |x - 2|?

Back

The vertex is at the point (2, 0).

Front

What happens to the graph of y = |x| when you multiply it by a negative number?

Back

The graph reflects over the x-axis.

Front

How do you find the x-intercepts of the equation y = |x| - 4?

Back

Set |x| - 4 = 0, which gives x = 4 and x = -4.

Front

What is the range of the function y = |x| - 4?

Back

The range is y ≥ -4.