3.1 Absolute Value Graphs

Draw

Draw a graph that has a maximum.

Multiple Choice

Does this graph have a maximum or minimum?

• Maximum

• Minimum

Multiple Choice

What is the vertex of the graph?

• (-3, 1)

• (-3, -1)

• (1, -3)

• (3, 1)

Multiple Choice

What is the vertex of this graph?

• (0, 1)

• (7, 0)

• (3, 4)

• (4, 3)

Multiple Choice

Does this graph have a maximum or minimum?

• Maximum

• Minimum

Multiple Choice

What is the domain of the graph?

• y≥1
• x ≥ 1
• All real numbers
• none of these

Multiple Choice

What is the range of the graph?

• y ≥ 1

• x ≥ 1

• All real numbers
• none of these

Multiple Choice

What is the domain of the absolute value function?

• (4, 0)
• (0, 4)
• (-∞, ∞)

• [4, ∞)

Multiple Choice

Describe the range of the given absolute value function.

• all real numbers less than or equal to -2

• all real numbers greater than -2

• all real numbers less than or equal to 0

• all real numbers

Multiple Choice

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

Multiple Choice

y = |x| - 7 makes the graph slide . . .

• left 7
• right 7
• up 7
• down 7

Multiple Choice

Choose the equation that matches the transformation:

--Reflection over the x-axis

• $$y=-|x|$$

• $$y=|-x|$$

• $$y=\frac{1}{2}|x|$$

• $$y=2|x|$$

Multiple Choice

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

Multiple Choice

Determine the transformation

• Left 5, up 1
• Left 5, down 1
• Right 5, up 1
• Right 5, down 1

Multiple Choice

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Multiple Choice

Choose the equation that matches the transformation:
Vertical compression by a factor of 1/9

• $$y=|x|+9$$

• $$y=|x|\ -9$$

• $$y=\frac{1}{9}|x|$$

• $$y=9|x|$$

Multiple Choice

Describe the transformation of y = f(x) for the new function
 y = 1/5f(x)

• Horizontal compress by a factor of 1/5

• Horizontal stretch by a factor of 5

• Vertical compress by a factor of 1/5

• Vertical stretch by a factor of 5

Multiple Choice

Describe the transformation of y = f(x) for the new function
 y = 5f(x)

• Horizontal compress by a factor of 1/5

• Horizontal stretch by a factor of 5

• Vertical compress by a factor of 1/5

• Vertical stretch by a factor of 5

Multiple Choice

Determine the vertex for each absolute value function

• (-3, -1)
• (-3, 1)
• (3, -1)
• (3, 1)

Multiple Choice

Determine the vertex of the function

• (-2, 5)
• (-2, -5)
• (2, 5)
• (2, -5)