absolute value

What is the equation of the absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

3 | d + 1 | - 7 ≥ -1

• No Solution
• All Real Numbers
• d ≤ -3  or  d ≥ 1
• -1 < d < 3

Solve | 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

What is the equation of the graph below?

• f(x) = I x I + 1
• f(x) = I x I - 1
• f(x) = -I x I + 1
• f(x) = -I x I - 1

Solve | x + 1 | ≥ 3

• No Solution
• All Real Numbers
• x ≤ -4  or  x ≥ 2
• -4 ≤ x ≤ 2

Write an equation for the absolute value function in the form y = a|x-h|+k, given the vertex is (3, 1) and point (6, -5).

• y = 2|x-3|+1

• y = 4/3|x-3|=1

• y = -4/3|x-3|+1

• y = -2|x-3|+1

Write an equation for the absolute value function in the form y = a|x-h|+k, given the vertex is (-2, -2) and point (0, 4).

• y = -3|x+2|-2

• y = 3|x-2|+2

• y = 3|x+2|-2

• y = -3|x+2|+2

Solve
3 | 2t - 3 | - 5 > 16

• No Solution
• All Real Numbers
• t < -2  or  t > 5
• -2 < t < 5