We at **ask-math **believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

**We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.**

**Affiliations with Schools & Educational institutions are also welcome.**

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

Absolute value graph : As this graph contains positive and negative values so this graph does not look like a line graph, which you have studied it earlier.Whenever we have to Graph Absolute value, we have to consider positive values and negative values for x. The general shape will look like a

This is main absolute value-graph with center as origin y = |x| .

If there is any number in the absolute sign then that number is the vertex of that V graph.

1) If y = | x + a| then the vertex will shift ‘ a’ units to left.

Example : y = | x + 2| then the vertex will shift to 2 units to left.

2) If y = | x – a | then the vertex will shift to ‘a’ units to right side.

Example : y = | x - 2| then the vertex will shift to 2 units to right.

3) If y = | x | + a then the graph will shift ‘a’ units up.

Example : y = |x | + 2 then the vertex will shift 2 units up.

4) If y = | x | - a then the graph will shift ‘a’ units down.

Example : y = |x| - 2 then the graph will shift 2 units down.

If there is negative sign before absolute sign then graph will look like

Example : y = - | x |

For any quadratic equation we get a Parabolic graph. But if the quadratic equation is in absolute sign then graph will look like

Example : y = |x

Graph Dictionary

Home Page

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers