### Concept (1)

Once we learn about absolute value graphing, we can use shifts in absolute value graphs to more easily graph new absolute value equations. We can use specific rules for the addition of constants within the equation to shift the graph horizontally or vertically. These techniques can also be used when graphing parabolas.

### Sample Problems (6)

Need help with "Shifts in Absolute Value Graphs" problems? Watch expert teachers solve similar problems to develop your skills.

Sketch using shifts:

a) f(x) = |x| + 2
b) f(x) = |x| − 2
c) f(x) = |x + 2|
d) f(x) = |x − 2|
###### Problem 1
How to graph absolute value equations with horizontal and vertical shifts.

Sketch using shifts:

a) f (x) = 2|x|
b) f (x) = -|x|
c) f (x) = -½|x|
###### Problem 2
How to graph absolute value equations with dilations or negative signs.

Sketch:

f(x) = 2|x − 3| + 4
###### Problem 3
How to graph absolute value equations with shifts and dilations.
###### Problem 4
Common misconceptions of using transformations to sketch an absolute value graph.
###### Problem 5
Graphing absolute value functions using all transformations.
###### Problem 6
Graphing an absolute value function by creating a x- y chart around the vertex.