Absolute Value Parent Functions

Identify the parent function of absolute value.

• y = |x|

• y = x^2

• y = √x

• y = x^3

Graph the absolute value parent function y = |x|.

• V-shaped graph with the vertex at the origin

• Exponential growth graph

• Horizontal line passing through the origin

• U-shaped graph with the vertex at the origin

Tags

CCSS.HSF-IF.C.7D

What kind of Function is f(x) = 5 + 3|x - 9|

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

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 

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x  I + 2

• f(x) = I x  I - 2

• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

For the absolute value parent equation, the graph is symmetric about

• the x-axis

• the y-axis

• the origin

• y=x

Tags

CCSS.HSF-IF.C.7D

The​ ​ (a)   of an absolute value function is always x=h

• range

• vertex

• domain

• axis of symmetry

Tags

CCSS.HSF-IF.C.7D

What is the equation of the function?

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

Tags

CCSS.HSF-IF.C.7D

Which of the following is not true of the parent function f (x) = |x|?

• The function has even symmetry.

• The function has no intercepts.

Tags

CCSS.HSF-IF.C.7D

Match the steps in solving for an absolute value function in correct order.

• Fill the table in with Ctrl T

• Step 5:

• Explain the transformations that happen

• Step 1:

• Graph the function in the calculator

• Step 2:

• Identify the characteristics

• Step 4:

• Graph the points on the graph

• Step 3: