Absolute Value Functions and Graphs

Graph Absolute Value
Functions

Multiple Choice

What is the definition of absolute value?

• The distance a number is to zero

• A positive number

• A number that has a value with a different sign

Multiple Choice

Evaluate: |-12|

• 12

• -12

• 0

• 1.2

Multiple Choice

What type of shape is an absolute value function?

• Line
• V
• U
• Z

Multiple Choice

Which is the parent function for Absolute value

• $$y=\left|x\right|$$

• $$y=2^x$$

• $$y=\sqrt{x}$$

• $$y=x^2$$

​For h, horizontal movements, it's the opposite of what you see! Negative goes right, positive goes left!

Multiple Choice

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

• left 7
• right 7
• up 7
• down 7

Multiple Choice

  . 
The blue graphs is the parent function y=|x|, the red must be

• y=|x+2|

• y=|x|+2

• y=|x-2|

• y=|x|-2

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

Choose the correct equation for the graph.

•  $$y=\left|x+2\right|$$

• $$y=\left|x-2\right|$$

• $$y=\left|x\right|+2$$

• $$y=\left|x\right|-2$$

Multiple Choice

Choose the correct equation for the graph.

•  $$y=\left|x+2\right|$$

• $$y=\left|x-2\right|$$

• $$y=\left|x\right|+2$$

• $$y=\left|x\right|-2$$

​HINT: For the vertex, you will always use the opposite of what you see for the h and exactly what you see for the k.

​If a is positive your graphs opens up, if a is negative your graph opens down

Multiple Choice

What is the vertex of the absolute value graph y = |x + 3| - 2?

• (-2, -3)

• (3, -2)

• (0, -2)

• (-3, -2)

Multiple Choice

What is the vertex of the following function?
y= |x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Match

Match the following.

• y = |x|

• y = |x| - 9

• y = |x| + 9

• y = |x - 9|

• y = |x + 9|

Vertex at (0, 0)

Vertex at (0, -9)

Vertex at (0, 9)

Vertex at (9, 0)

Vertex at (-9, 0)

• Vertex at (0, 0)

• Vertex at (0, -9)

• Vertex at (0, 9)

• Vertex at (9, 0)

• Vertex at (-9, 0)

Multiple Choice

Determine the transformation (how does it move compared to the parent)

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

Poll

On a scale of 1-4, 1 I don't get it to 4 I got it, how do you feel about this lesson?

• 1

• 2

• 3

• 4