precalc 1.3A flashcard

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

What is the equation of the graph represented by f(x) = -|x| - 1?

Back

The graph is a downward-opening absolute value function with a vertex at (0, -1).

Front

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

Back

The vertex is (-2, 5).

Front

What is the equation of the graph represented by y = -|x - 2| + 4?

Back

This is a downward-opening absolute value function with a vertex at (2, 4).

Front

What is the range of the absolute value function?

Back

The range is [0, infinity).

Front

What does the vertex of an absolute value function represent?

Back

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

Front

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

Back

The graph of f(x) = |x| + k is shifted vertically by k units.

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

What is the general form of an absolute value function?

Back

f(x) = a|bx + c| + d, where (h, k) is the vertex.

Front

How do you find the vertex of the function y = a|x - h| + k?

Back

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