Graphing Absolute Value Functions

What is the parent function of an absolute value function?

• f(x) = x^3

• f(x) = 1/x

• f(x) = x^2

• f(x) = |x|

What does the 'a' value in an absolute value function determine?

• The domain of the graph

• The direction the graph opens

• The width of the graph

• The vertex of the graph

Where is the vertex of the parent function f(x) = |x| located?

• (1,1)

• (2,2)

• (0,0)

• (-1,-1)

What is the slope of the parent function f(x) = |x|?

• 1

• -1

• 0

• 2

In the first transformation example, what is the vertex of the function?

• (-6, -4)

• (6, 4)

• (-4, -6)

• (4, 6)

What is the slope of the function in the first transformation example?

• 4

• 3

• 2

• 1

In the second transformation example, what is the vertex of the function?

• (-3, -2)

• (2, 3)

• (-2, -3)

• (3, 2)

What is the slope of the function in the second transformation example?

• 1/3

• -1/3

• 3

• -3

What is the domain of any absolute value function?

• 0 to 1

• 0 to infinity

• -infinity to infinity

• -infinity to 0

What determines if the graph of an absolute value function opens upwards or downwards?

• The vertex

• The 'a' value

• The domain

• The range