Absolute Value of Functions

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

• A

• B

• C

• D

Choose the graph that matched the equation.
y = |x - 1|

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

Draw the Absolute Value Parent Function

Is the negative inside or outside the absolute value symbols when reflecting over the y-axis?

Tags

CCSS.HSF-IF.C.7D

What is the equation for the translation of f(x)=|x| that moves down 3 units?

• f(x) = |x - 3|

• f(x) = -3|x|

• f(x) = |x| - 3

• f(x) = |x| + 3

What is the equation for the translation of f(x)=|x| that moves left 8 units?

• f(x) = |x - 8|

• f(x) = -8|x|

• f(x) = |x| - 8

• f(x) = |x + 8|

What is the equation for the translation of f(x)=|x| that moves right 4 units?

• f(x) = |x - 4|

• f(x) = 4|x|

• f(x) = |x| + 4

• f(x) = |x + 4|

What is the equation for the translation of f(x)=|x| that moves up 6 units?

• f(x) = |x + 6|

• f(x) = |x - 6|

• f(x) = |x| + 6

• f(x) = |x| - 6

What is the equation for the translation of f(x)=|x| that moves left 10 units?

• f(x) = |x + 10|

• f(x) = |x - 10|

• f(x) = |x| + 10

• f(x) = |x| - 10

What is the equation for the translation of f(x)=|x| that moves down 9 units?

• f(x) = |x + 9|

• f(x) = |x - 9|

• f(x) = |x| + 9

• f(x) = |x| - 9