# FIND MAXIMUM OR MINIMUM OF A ABSOLUTE VALUE FUNCTION WORKSHEET

Identify the vertex.

• Determine if the graph opens up or down.
• Determine if the graph has a maximum or minimum and its value.
• Decide if the graph is narrower, wider, or the same width as the parent graph.

Problem 1 :

y = -|x + 1|

Solution

Problem 2 :

y = 7|x - 3| - 4

Problem 3 :

y = -2/3|x - 1|

Problem 4 :

y = 5/2|x + 9| - 1

Problem 5 :

y = 3/4|x + 3| - 6

Problem 6 :

y = -|x| + 5

1) Vertex (-1, 0), open down, maximum at x = -1, width is same.

2) Vertex (3, -4)open up, maximum at x = 3, width is narrower.

3) Vertex (1, 0)open down, maximum at x = 1, width is wider.

4) Vertex (-9, -1)open up, minimum at x = -9, width is narrower.

5) Vertex (-3, -6)open up, minimum at x = -3, width is wider.

6) Vertex (0, 5)open down, maximum at x = 0, width is the same.

## Recent Articles

1. ### Finding Range of Values Inequality Problems

May 21, 24 08:51 PM

Finding Range of Values Inequality Problems

2. ### Solving Two Step Inequality Word Problems

May 21, 24 08:51 AM

Solving Two Step Inequality Word Problems