Graphing Absolute Value Inequalities

Front

What happens to the graph of an absolute value function when you add 'h' to the equation?

Back

The graph will shift horizontally to the left by 'h' units.

Front

What type of line is used for the inequality f(x) ≥ |x+3| - 9?

Back

Solid line.

Tags

CCSS.HSF-IF.C.7A

Front

Back

(-1, 3)

Tags

CCSS.HSF-IF.C.7D

Front

What does a dotted line indicate in graphing inequalities?

Back

It indicates that the points on the line are not included in the solution set.

Tags

CCSS.HSA.REI.D.12

Front

What does a solid line indicate in graphing inequalities?

Back

It indicates that the points on the line are included in the solution set.

Tags

CCSS.HSA.REI.D.12

Front

Back

Front

What is the effect of a negative coefficient in front of an absolute value function?

Back

It reflects the graph across the x-axis.

Front

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

What is the general shape of an absolute value graph?

Back

The graph forms a 'V' shape.

Tags

CCSS.HSF-IF.C.7D

Front

Back

The 'a' value represents the vertical stretch or compression and the direction of the graph.