Graphing Absolute Value Functions

Front

What is the vertex of the absolute value function graph?

Back

Front

Back

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

Front

Back

Front

Back

The '+ k' shifts the graph vertically by k units. If k is positive, the graph shifts up; if negative, it shifts down.

Front

Back

The coefficient 'a' affects the vertical stretch or compression of the graph. If |a| > 1, the graph is stretched; if 0 < |a| < 1, it is compressed.

Front

What is the equation of the graph with vertex (1, 3) that opens downwards?

Back

Front

Back

Front

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

Back

The vertex is the minimum or maximum point of the graph, depending on whether it opens upwards or downwards.

Front

What is the equation of the graph that has a vertex at (0, -2) and opens upwards?

Back

Front

How do you determine the direction in which the absolute value graph opens?

Back

If the coefficient of the absolute value term is positive, the graph opens upwards; if negative, it opens downwards.