Date post: | 15-Dec-2015 |
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Objective: be able to graph absolute value functions, and identify changes on their graphsPOD: Solve and graph the following inequality -2y + 4 < 6x
Mathematical modeling can be done by using different types of functions besides from linear.
x f(x)-2
-1
0
1
2
Fill in the table of values for f(x) = | x |
Modeling Part 1: f(x) = A| x | Compare the function f(x) = 2|x| to the parent graph
x f(x)
-2
-1
0
1
2
Compare the function f(x) = 0.5|x| to the parent graph
x f(x)
-2
-1
0
1
2
Modeling Part 1: f(x) = A| x | Compare the function f(x) = -2|x| to the parent Graph f(x) = | x |
x f(x)
-2
-1
0
1
2
Compare the function f(x) = -0.5|x| to the parent Graph f(x) = | x |
x f(x)
-2
-1
0
1
2
Modeling Part 2: f(x) = | x - H | Compare the function f(x) = |x+1| to the parent graph f(x) = | x |
x f(x)
-3
-2
-1
0
1
Compare the function f(x) = |x - 2| to the parent graph f(x) = | x |
x f(x)
0
1
2
3
4
Modeling Part 3: f(x) = | x | + K
Compare the function f(x) = |x| - 3 to the parent graph f(x) = | x |
x f(x)
-2
-1
0
1
2
Compare the function f(x) = | x | + 2 to the parent graph f(x) = | x |
x f(x)
-2
-1
0
1
2
Modeling Part 4: f(x) = |x - H | + K
g(x) = ______________
f(x) = | x |
What function is represented by g(x)?For g(x) :
3. What is line of symmetry?
2. What is the coordinate of the vertex?
1. Describe the movement of the vertex of g(x) from the parent function f(x)
Modeling Part 4: f(x) = |x - H | + K
g(x) = ______________
f(x) = | x |
What function is represented by g(x)? For g(x) :
3. What is line of symmetry?
2. What is the coordinate of the vertex?
1. Describe the movement of the vertex of g(x) from the parent function f(x)
Modeling Part 4: f(x) = A|x - H | + K
2. Compare the graph g(x) to f(x)? Describe the transformations
3. Write a function to represent g(x)
1. What are the coordinates of the vertex for g(x)?
g(x) = ______________
f(x) = | x |
A landscaper sketches the design for a triangular shrub protector on graph paper. Write an equation for the shrub protector