Graphing Absolute Value Functions

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 
• f(x) = -3|x| - 7
• f(x) = -|-x + 1| + 4
• f(x) = 5|x - 4| - 1

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

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

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

• A
• B
• C
• D

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

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4
• y = - | x - 2| + 4
• y = | x - 2 | + 4
• y = | x - 2| - 4