Absolute Value Graphs Equations

What is the domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)

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 transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Match each graph with the correct eqaution.

 

• y = 0.5 lx-3l

• 
• f(x) = 1/2 lx+3l

• 
• g(x) = -lxl

• 
• h(x) = 3 lx-4l+2

• 

What transformation would change the vertex of this graph to (3,1)

• right 3 and down 3

• right 3 and up 1

• up 4

• Shift right 4 units

What is the range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right

• Stretches wider, shifts right

• Stretches more narrow, shifts left

• Stretches wider, shifts left

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

3| −8x| + 8 = 80

• {-7/3, 7/3}

• {-3,3}

• {11/3,-11/3}

• No Solution