Graphs
Solving
Transformations
Absolute Special
100

What is the vertex of the graph?


Vertex: (-2, 0)

100

Solve the following inequality:

|x+4| < 2

x < -2 and x > -6

100

What is the parent function to all absolute value functions?

f(x) = |x|

100

Write the solutions in interval notation:

lx - 2l -5 > -2

(-1, 5)
200

What is the domain and range of this function?


Domain: All Real Numbers

Range: y≤4

200

Is -4 a solution to the following inequality:

|2x+7| > 1

not a solution

200

Identify and describe the transformation:

g(x) = |x + 2| + 4

Vertical translation of 4 up and 2 left

200

Solve the following:

3 l− 8x − 6l = 3

{3/4}

300

Write the equation of the graph:


y = lx - 3l -1

300

Solve the following:

−5 l3 + 4kl = −115

{5, -13/2}

300

Describe the transformation:


Left 4 and up 3

300

What is the vertex:

y = l 3(x - 2) l+8

Vertex: (6, 8)

400

What is the vertex of the following?

y = lx - 3l -1


(3, -1)

400

Solve the inequalities

lx + 5l  < 6

    2

x < 7  and x > -17 

400

Identify and describe the transformation:

h(x) = 0.5|x-3| + 1

Vertical shrink (wider) by 0.5 

Right 3 and up 1

400

Solve and graph the inequality:

-2|x+1| > 3

No solution

500

Identify the range:

y = -2 lx + 6l -10

y ≤ -10

500

Solve and graph the inequality:

4|2x-1|-2 ≥ 10

x ≥ 2 or x ≤ -1



500

Write the equation of the transformed function:


y = -2 l x -2 l -1


500
Write the solution in interval notation:

9l1 + 8nl - 3 ≥ 78

[1, oo) or (-oo, -5/4]

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