Absolute Functions Graphing

Which function shows a horizontal stretch and a vertical translation?

• f(x) = 9|-x|  + 2

• f(x) = |¹/₂x + 3| - 7

• f(x) = -|4x + 1| + 5

• f(x) = ¹/₃|2x - 4| - 1

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

Describe the transformation from the Absolute Value Parent Function.

• Graph is more narrow, shifts up 4 units

• Graph is more narrow, shifts down 4 units

• Graph is wider, shifts up 4 units

• Graph is wider, shifts down 4 units

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

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

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 4|x + 3| - 2

• Narrower

• Wider

• Same

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 5/2 |x - 1|+ 2

• Narrower

• Wider

• Same

Use Narrower, Wider, or Same to compare the width of this graph to its parent function. y= 1/3 |x| + 3

• Narrower

• Wider

• Same

The function f(t) = -2|t - 15| + 50 is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the maximum sales for one week?

• $40,0000

• $20,0000

• $50,000

• $10,0000