Function Families Worksheet #2
Algebra 2: Absolute Value
Graph each “family” of equations on a graphing calculator. Try to discover what
makes each one different. Then try to sketch them on the coordinate plane. Use
different colors to differentiate between the equations. Be sure to compare the
parts of the equation to the graph. Then, in your notebook, write what you have
discovered about the equations.
1. f(x) = | x | 2. f(x) = | x + 2 |
f (x) = | x | + 1 f(x) = | x - 2 |
f(x) = | x | - 4 f(x) = | x + 5 |
f(x) = | x | + 3 f(x) = | x - 3 |
3. f(x) = | 0.5x | 4. f(x) = | x + 4|
f(x) = |2 x | f(x) = | x | + 4
f(x) = | 3x| f(x) = - | x + 4 |
f(x) = | 6x | f(x) = - |x| + 4
pg. 1
5. f(x) = - | x | + 1 6. f(x) = | x + 1 | + 2
f(x) = - | x + 1 | f(x) = | x + 1 | - 2
f(x) = - | x - 3 | f(x) = | x - 1 | + 2
f(x) = - | x | - 3 f(x) = | x - 1 | - 2
For each equation below, identify the coordinates of the vertex of the graph.
Do this without actually graphing.
1. f(x) = | 6x | 2. f(x) = - | 2x|
vertex:____________ vertex:____________
3. f(x) = | x + 7 | 4. f (x) = | x | - 9
vertex:____________ vertex:____________
5. f(x) = | x + 8 | 6. f(x) = | x - 6 | + 8
vertex:____________ vertex:____________
7. f(x) = | x + 10 | + 12 8. f(x) = | x + 7 | - 8
vertex:____________ vertex:____________
pg. 2
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