5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
Do Now
Match the name of the function to the appropriate equation.
1) Quadratic Function
y = |x + 2|
2) Linear Function
y = x2 ­ 3
3) Absolute Value
y = 3x + 6
Homework Answers
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
Date:
Graphing Functions:
Absolute Values
Objective: Graph an absolute value function (AG4)
Investigate and generalize how changing the coefficients of a function affects its graph. (AG5)
Graph:
1) f(x) = Ι x Ι
x
y
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
2) Graph:
a(x) = Ι x - 1| - 2
Graph:
y=ΙxΙ
x
y
Describe the transformation from the parent function. 3) Graph:
b(x) = -Ι x Ι + 3
x
Describe the transformation from the parent function.
y
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
4) Graph:
c(x) = 2Ι x + 4 Ι
x
y
Describe the transformation from the parent function.
5) Graph:
d(x) = (1/2)Ι x - 2 Ι
x
Describe the transformation from the parent function.
y
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
x
Describe the transformation from the parent function.
y
6) Graph:
g(x) = - |x|- 4
x
y
7) Graph:
h(x) = 3 Ι x - 1Ι
Describe the transformation from the parent function.
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
8) Graph:
m(x) = - (1/2) Ι x Ι
x
y
Describe the transformation from the parent function.
You Try:
9) Graph:
n(x) = Ιx - 2| - 3
x
Describe the transformation from the parent function.
y
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
10) Graph:
v(x) = -Ιx + 1Ι + 3
x
y
Describe the transformation from the parent function.
11) Graph:
k(x) = - 2 Ι x Ι + 1
x
Describe the transformation from the parent function.
y
5­19­16 Alg L Absolute Value Functions Day 2.notebook
May 19, 2016
12) Graph:
p(x) = (1/3) Ι x + 2Ι
x
y
Describe the transformation from the parent function.
Summary of what affect a, b, and c has on the graph of the absolute value
y = ±a |x ± b| ± c
5­19­16 Alg L Absolute Value Functions Day 2.notebook
Homework Worksheet
May 19, 2016