Evaluate Absolute Value Functions

Describe the transformations of the absolute value equation.

• Graph is wider, reflects over x-axis, shifts right 1 unit

• Graph is wider, reflects over x-axis, shifts up 1 unit

• Graph is more narrow, reflects over x-axis, shifts right 1 unit

• Graph is more narrow, reflects over x-axis, shifts up 1 unit

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D

What type of shape is an absolute value function?

• Line

• V

• U

• Z

Tags

CCSS.HSF-IF.C.7D

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

• left 7

• right 7

• up 7

• down 7

y = |x - 3| makes the graph slide . . .

• left 3

• right 3

• up 3

• down 3

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

What is the vertex of the following function?

• (10,3)

• (-10,3)

• (-10,-3)

• (10,-3)

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

Tags

CCSS.HSF-IF.C.7D