Solving Inequalities
Transformations
Vertex and Slope
Parent Functions
Solving Abs. Value
100
2y - 5 < 7
Solve the inequality
Graph the solution
What is
y < 6
100
y = |3x|
Describe the transformation
What is
Vertical stretch by 3
100
y = |4x + 2|
Identify the slope
What is
Slope = 4 and -4
100
What is the equation for the absolute value parent function?
What is
y = |x|
100
10 = | x |
Solve the absolute value equation
What is
x = 10 or -10
200
4(x + 3) > 2x
Solve the inequality
Graph the solution
What is
-6 < x
200
y = |5x| - 4
Describe the transformation
What is
Vertical stretch by 5, vertical shift down 4 units
200
y = |x + 9| - 2
Identify the vertex
What is
Vertex = (-9, -2)
200
Draw the graph for
y = |x|
200
| x + 3 | = -4
Solve the absolute value equation.
What is
No solution
300
|x-5| < 1
Solve the absolute value inequality
Graph the solution
What is
x < 6 AND x > 4
300
y = |x - 8| + 3
Describe the transformation
What is
Horizontal shift 8 units to the right, vertical shift 3 units up
300
y = - |x - 3|
Identify the vertex
Graph the function.
What is
Vertex = (3, 0)
300
y = |mx + b| + c
What does 'm' represent?
What is
Slope, vertical stretch/compression.
300
|x - 5| + 2 = 15
Solve the absolute value equation.
What is
x = 18 or x = -8
400
2|x + 3| - 1 > 13
Solve the absolute value inequality
Graph the solution.
What is
x > 4 OR x < -10
400
y = -|x + 5|
Describe the transformation
What is
Reflection over the x-axis, horizontal shift 5 units to the left
400
y = |2x + 1| - 6
Identify the slope and the vertex
Graph the function.
What is
Slope = 2 and -2
Vertex = (-1/2, -6)
400
y = m |x + b| + c
What does 'b' represent?
What is
Horizontal shift
400
2| x + 1| - 4 = 6
Solve the absolute value equation
What is
x = 4 or x = -6
500
|x - 8| + 3 < 16
Solve the absolute value inequalityGraph the solution
What is
x < 21 AND x > -5
500
y = |1/2x - 10| + 3
Find the vertex
What is
(20,3)
500
y = - |3 x| + 7
Identify the slope and the vertex
Graph the function.
What is
Slope = 3 and -3
Vertex = (0, 7)
500
y = a |x +b| + c
what does 'c' represent?
What is
Vertical shift
500
|2x - 1| = x + 3
Solve the absolute value equation
What is
x = 4 or x = -2/3