Absolute Value Graphs

Front

What does the graph of y = |x - 3| represent in terms of transformation?

Back

The graph slides right 3 units.

Front

What is the domain of the absolute value function?

Back

The domain is (-infinity, infinity).

Front

What is the range of the absolute value function?

Back

The range is [0, infinity).

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value has exactly one y-value.

Front

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

Back

The vertex is (-2, 5).

Front

What effect does a negative coefficient have on the absolute value function?

Back

It reflects the graph across the x-axis.

Front

How do you find the x-intercepts of the function y = |x - 3|?

Back

Set y = 0 and solve for x, giving x = 3.

Front

What is the general form of an absolute value function?

Back

The general form is y = a|bx + c| + d.

Front

What does the parameter 'a' in the absolute value function affect?

Back

The parameter 'a' affects the vertical stretch or compression and reflection.

Front

What is the significance of the vertex in an absolute value graph?

Back

The vertex is the point where the graph changes direction and is the minimum or maximum point.