Shifts in Absolute Value Graphs - Concept

Concept 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 Sample Problems (6)

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Shifts in Absolute Value Graphs - Problem 1

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.
Shifts in Absolute Value Graphs - Problem 2

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.
Shifts in Absolute Value Graphs - Problem 3

Sketch:

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