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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

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