FLASHCARD Algebra 2 Absolute Value Functions and Graphs

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

Identify the location of the vertex for the function f(x) = |x - 2|.

Back

(2, 0)

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity)

Front

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

Back

y = |x - 1| - 1

Front

Identify the location of the vertex for the function f(x) = \frac{1}{2}|x + 1| - 5.

Back

(-1, -5)

Front

What does the vertex of an absolute value function represent?

Back

The vertex represents the minimum or maximum point of the graph.

Front

How does the graph of f(x) = |x| + k differ from f(x) = |x|?

Back

The graph shifts vertically by k units.

Front

What is the effect of a negative coefficient in front of the absolute value function, such as in f(x) = -|x|?

Back

It reflects the graph across the x-axis.

Front

What is the range of the absolute value function f(x) = |x|?

Back

[0, infinity)

Front

How do you find the vertex of the function f(x) = |x - h| + k?

Back

The vertex is at the point (h, k).